Percentages

Percentages

Q. 1. The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number?

(a) 1071    (b) 1173    (c) 1037     (d) 1159     (e) None of these

Ans: (e) None of these

Explanation:

The difference in percentage = 78% - 59% = 19%

i.e. 19% of a number = 323

therefore,  62% of the number = 323 × 62/19 = 1054.Ans.

Q. 2. 88% of a number is 35640. What is 65% of that number?

(a) 25920   (b) 26500   (c) 26325    (d) 26730     (e) None of these

Ans: (c) 26325

Explanation:

88% of a number = 35640

Therefore, 65% of that number = 35640 × 65/88 = 26325. Ans.

Q. 3. Tanya obtained 95% marks in Physics, Chemistry and Maths together and she obtained 225 marks in Social Science, English and Hindi together. If the maximum marks one can obtain in each of the subjects is 100, what is Tanya’s overall percentage in all the six subjects together?

(a) 80  (b)75  (c) 90   (d) 95  (e) None of these

Ans: (e) None of these

Explanation:

Maximum marks in each subject = 100

So, his total marks in Physics, Chemistry and Maths = 95% of 300 = 285

Total marks obtained in Social Science, English and Hindi = 225 out of 300

Therefore, total marks in 6 subjects = 285 + 225 = 510

So, the required percentage = 510 × 100/600 = 85%. Ans.

Q. 4. 40% of 60% of 3/5^th  of a number is 504. What is 25% of 2/5^th of that number?

(a) 180   (b) 175    (c) 360     (d) 350    (e) None of these

Ans: (d) 350

Explanation:

Let ‘x’ be the number.

Then, 40/100 × 60/100 × 3/5 × x = 504

144x = 504 × 1000

Therefore, x = 504 × 1000/144 = 3500

Then, 25/100 × 2/5 × 3500 = 350. Ans.

Q. 5. In a test consisting of 80 questions carrying one mark each, Arpita answers 65% of the first 40 questions correctly. What percent of the other 40 questions does she need to answer correctly to score 75% on the entire test?

(a) 60   (b) 80    (c) 75    (d) 40    (e) None of these

Ans: (e) None of these

Explanation:

Total marks  for 80 questions = 80

75% of 80 = 60

65% of 40 = 26

Required marks for other 40 questions = 60 – 26 = 34  out of 40

Therefore, the required percentage = 34 × 100/40 = 85%. Ans.

Q. 6. A sum of Rs.2236 is divided among A, B and C such that A receives 25% more than C and C receives 25% less than B, what is A’s share in the amount?

(a) Rs. 460   (b) Rs. 890  (c) Rs. 780   (d) Rs.1280   (e) None of these

Ans: (c) Rs.780

Explanation:

C = 75 B/100 = 3 B/4  and  so, A = 125 × 3 B/100 × 4 = 15 B/16

Then, 15 B/16 + 3 B/4 + B = 2236

i.e. 43 B/16 = 2236   and   B = 2236 × 16/43 = 832

Therefore, A’s amount = 15 × 832/16 =Rs.780.Ans.

Q. 7. (7.9% of 134) – (3.4% of 79) = ?

(a) 8.1   (b) 7.8   (c) 8.6    (d) 7.3    (e) None of these

Ans: (e) None of these

Explanation:

7.9 ×134/100 – 3.4 × 79/100 = 10.586 – 2.686 = 7.9. Ans.

Q. 8. In a class of 65 students and 4 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets were there?

(a) 845   (b) 897    (c) 949   (d) 104    (e) None of these

Ans: (c) 949

Explanation:

No. of  sweets each student get = 20% of 65 = 13

No. of sweets each teacher get = 40% of 65 = 26

No. of sweets distributed to 65 students =  13 × 65 = 845

No. of sweets distributed to 4 teachers = 4 × 26 = 104

Therefore, the total no. of sweets there = 845 + 104 = 949. Ans.

Q. 9. What is 35% of 42 % of 6/7^th of 500?

(a) 36    (b) 44   (c) 52    (d) 60    (e) None of these

Ans:  (e) None of these

Explanation:

35/100 × 42/100 × 6/7 × 500 = 63. Ans.

Q. 10. 88.25% of 450 = ?% of 530

(a) 70    (b) 68    (c) 75    (d) 80    (e) 65

Ans: (c) 75

Explanation:

88.25 × 450/100 = ? × 530/100

i.e. 88.25 × 450  = ? × 530

:. ? = 88.25 × 450/530 = 75.15 = 75 approximately. Ans.

Q. 11. ?% of 450 + 46% of 285 = 257.1

(a) 34    (b) 32    (c) 21   (d)   28    (e) None of these

Ans: (d) 28

Explanation:

? × 450/100 + 46 × 285/100 = 257.1

? × 450  + 46 × 285/100 = 257.1

? × 450 + 46 × 285 = 25710

? × 450 = 25710 – 13110 = 12600

? = 12600/450 = 28 Ans.

Q. 12. 75% of 280 – 24% of 45 = ?

(a) 194.5   (b) 195  (c) 199.2    (d) 198   (e) None of these

Ans: (c) 199.2

Explanation:

75% of 280 = 280 × ¾ = 210

24% of 45 = 25% of 45 – 1% of 45

                 = 25/4  -   .45 = 11.25 - .45 = 10.80

Therefore, ? = 210 – 10.80 =199.2. Ans.

Q. 13. 5040 ÷ ( ?% of 840) = 8

(a) 45   (b) 60    (c) 75      (d) 50   (e) None of these

Ans: (c) 75

Explanation:

5040 ÷ ? × 840/100 =8

5040 × 100 /? × 840 = 8

? = 5040 × 100/8 × 840 =75. Ans.

Q. 14. The 18% of a number is 59.04. what is 25% of that number?

(a) 76   (b) 82   (c) 68    (d) 91   (e) None of these

Ans: (b) 82

Explanation:

18% = 59.04

1% = 59.04/18

25% of the number = 59.04 × 25/18 = 82. Ans.

Q. 15. Three –fifth of a number is 168. What is 12% of that number?

(a) 35.4   (b) 34.2   (c) 36.4   (d) 33.6   (e) None of these

Ans: (d) 33.6

Explanation:

3/5^th of  the number = 168

So, the number = 168 × 5/3 = 280

12% of 280 = (10% + 2%) of 280 = 28 + 5.6 = 33.6.Ans.

Q.16. 38% of 341 = ?

(a) 120.68    (b) 129.58   (c) 135.78    (d) 136.28   (e) None of these

Ans: (b) 129.58

Explanation:

38% of 341 = (3 × 10% + 8%) of 341

                   = 3 × 34.1 + 8 × 3.41                              (where 1% = 3.41)

                  = 102.3 + 27.28 =129.58.Ans.

Q. 17. Out of 820 employees in an organization 20% of the employees got promoted to a higher grade. How many employees did not get promoted?

(a) 680   (b) 668   (c) 656    (d) 674    (e) None of these

Ans: (c) 656

Explanation:

The no. of employees did not get promoted  = 80% of 820

                                                                      = 8 × 10% of 820  = 8 × 82 = 656.Ans.

Q. 18. 96% of a number is 19584. What is 56% of that number?

(a) 11016  (b)11222   (c) 11628    (d) 10812     (e) None of these

Ans: (e) None of these

Explanation:

Because 96% = 19584

1% = 19584/96

Then 56% of that number = 19584 × 56/96 = 11424.Ans.

Q. 19. 16% of 380 × 5 = ?

(a) 276    (b)284    (c) 304      (d) 312    (e)None of these

Ans: (c)304

Explanation:

16% of 380 = (10% + 5% + 1%) of 380

                   = 38 + 19 + 3.8 = 60.8

16% of 380 × 5 = 60.8 × 5 = 304.Ans.

Q.20. 4550 ÷ 25% of ? = 130

(a) 145   (b) 140   (c) 125   (d) 160   (e) None of these

Ans: (b) 140

Explanation:

4550 ÷ 25 ?/100 =130

4550 × 100/25? =130

? = 4550 × 100/25 × 130 = 140. Ans.

Q.21. (550% of 250) ÷ 275 = ?

(a)15  (b)1.5   (c)0.5   (d) 25    (e) None of these

Ans: (e) None of these

Explanation:

550% of 250 = (5 × 100% + 50%) of 250

                     = 1250 + 125 = 1375

1375/275 = 5. Ans.

Q. 22. 155 of 45% of a  number is 105.3. What is 24% of that number?

(a) 385.5   (b)374.4  (c) 390  (d)375   (e) None of these

Ans: (b) 374.4

Explanation:

15/100 × 45/100 × x = 105.3

Then, x = 105.3 × 100 × 100/ 15 × 45 = 1560

24% of 1560 = (20% + 4%) of 1560

                     = 312 + 62.4 = 374.4. Ans.

Q. 23. 135% of 480 + ?% of 320 = 728

(a) 25   (b) 28   (c) 125   (d) 115  (e) None of these

Ans: (a) 25

Explanation:

135% of 480 = (100% + 3× 10% + 5%) of 480

                     = 480 + 144 + 24 = 648

?/100 ×320 = 728 – 648

  ? = 80 × 100/320 = 25.Ans.

Q. 24. 64% of a number is 2592. What is 88% of that number?

(a) 3458  (b) 3202   (c) 3826   (d) 3564    (e) None of these

Ans: (d) 3564

Explanation:

64% = 2592

So, 1% = 2592/64

88% of the same number = 2592 × 88/64  = 3564.Ans.

Q. 25. The difference between 54% of a number and 26% of the same number is 22526. Whaat is 66% of that number?

(a) 53097  (b) 48372  (c) 51218  (d) 49124   (e) None of these

Ans: (a) 53097

Explanation:

The difference in percentage i.e. 54% - 26% = 28%

Given that 28% = 22526

1% = 22526/28

66% of the same number = 22526 × 66/28 = 53097.Ans.

Q. 26. 30% of 15.6 + ? = 40% of 30

What is the value of question mark in the above equation?

(a)    6.32    (b) 7.32   (c) 8.32   (d) 5.32   (e) None of these

Ans: (b) 7.32

Explanation:

30% of 15.6 = 3 × 1.56 = 4.68

40% of 30 = 4 × 3 =12

Given that 4.68 + ? = 12

Therefore, ? = 12 – 4.68= 7.32. Ans.

Q. 27. The difference between 90% of a number and 83% of the same number is 175. What is 99% of that number?

(a) 2420   (b) 2475  (c) 2500  (d) 1750   (e) None of these

Ans: (b)  2475

Explanation:

The difference in percentage = 90% - 83% = 7%

Given that 7% = 175

So, 1% = 175/7  

99% of the same number = 175 × 99/7 = 2475.Ans.

Q. 28. 45% of 90 = ?% of 81

(a) 405   (b) 500    (c) 50    (d) 28.5    (e)None of these

Ans: (c) 50

Explanation:

45% of 90 = (50% - 5%) of 90

                 = 45 – 4.5 = 40.50

i.e. 40.5 = ?/100 × 81

? = 40.5 × 100/81   = 50.Ans.

Q. 29. 15% of 15 = ?

(a) 2.25   (b) 22.5    (c) 0.15     (d) 0.25   (e) None of these

Ans: (a) 2.25

Explanation:

15% of 15 = (10% + 5%) of 15

                 = 1.5 + .75 = 2.25. Ans.

Q. 30. The value of  7/10 of 3/17 of 30% of 425 is equal to

(a) 13.5  (b) 24.25   (c) 15.75   (d) 16    (e) None of these

Ans: (c) 15.75

Explanation:

30% of 425 =  3 × 10% of 425 = 127.5

7/10 × 3/17 × 127.5 = 63/4 = 15.75.Ans.+

Q. 31. 36% of 182 + 177% of 36 = ?

(a) 125    (b) 130    (c) 135    (d) 140    (e) 170

Ans: (b) 130

Explanation:

36% of 182 = ( 3 × 10% + 5% + 1) of 182

                   = 3 × 18.2 + 9.1 + 1.82 =  54.6 + 9.1 + 1.82 = 65.52

177% of 36 = (100% + 75% + 2%) of 36 = 36 + 27 + .72 = 63.72

Therefore, the required sum = 65.52 + 63.72 = 129.24 = 130 approximately. Ans.

Q. 32. Because of decrease of available manpower a toy factory reduced its monthly output by 20%. What should be the percent increase of manpower to bring the production up to normal?

(a) 16 2/3   (b) 24    (c) 20   (d) 25   (e) None of these

Ans: (d) 25%

Explanation:

The reduced out put = 80%

Therefore, the increase in manpower required in percentage = 20 × 100/80 = 25%. Ans.

Q. 33. Vaishali spent Rs.31897 on the air-conditioner for her home, Rs.38789 on buying plasma television and the remaining 23% of the total amount she had as cash with her. What was the total amount?

(a) Rs.74625   (b) Rs.86750   (c) Rs.91800   (d) Cannot be determined   (e) None of these

Ans: (c) Rs.91800

Explanation:

The total amount she  spent = Rs.31897 + Rs.38789 = Rs.70686

Percentage of amount she spent = 100 – 23 =  77 %  i.e. 77% = 70686

Therefore, the total amount = 70686 × 100/77 = Rs.91800.  Ans.

Q. 34. 40% of 250 = 50% of ?

(a) 200   (b) 100  (c) 150    (d) 400   (e) None of these

Ans: (a) 200

Explanation:

40% of 250 = (50% - 10% 0 of 250 = 125 – 25 = 100

Given that, 100 = 50 ?/100

? = 10000/50 = 200. Ans

Q. 35. In an examination it is required to get 40% of the aggregate marks to pass. A student gets 265 marks and is declared fail by 55 marks. What is the maximum aggregate marks a student can get?

(a) 800  (b) 750   (c) 650    (d) Cannot be determined   (e) None of these

Ans: (a) 800

Explanation:

265 + 55 = 320 = 40% of the aggregate marks

Therefore, the aggregate marks = 320 × 100/40 = 800. Ans.

Q. 36. The difference between 75% of a number and 20% of the same number is 378.4.  What is 40% of that number?

(a) 275.2    (b) 274   (c) 267.2    (d) 266    (e) None of these

Ans: (a) 275.2

Explanation:

The difference in percentage i.e. 75% - 20% = 55%

   55% of a number = 378.4

Therefore, 1% of the number = 378.4/55

And 40% of the same number = 378.4 × 40/55 = 275.2. Ans.

Q. 37. The difference between 56% of a number and 39% of the same number is 425. What is 63% of that number?

(a) 1525  (b) 1650   (c) 1700  (d) 1575   (e) None of these

Ans: (d) 1575

Explanation:

The difference in percentage i.e. 56% - 39% = 17%

17% of the number = 425

Therefore, 1% = 425/17 = 25

So, 63 % of the number = 25 × 63 = 1575. Ans.

Q. 38. 60 per cent of first number is 40 per cent of the second number. What is the respective ratio of the first number to the second number?

(a) 2 : 3   (b) 21 : 31   (c) 7 : 10   (d) cannot be determined  (e) None of these

Ans: (a) 2 : 3

Explanation:

Let the numbers be ‘a’ and ‘b’

60a/100 = 40b/100

60a  = 40b

Then, a : b = 40 : 60

                  = 2 : 3. Ans.

Q. 39. 82% of 850 – (?)² = 16²

(a) 30    (b) 27   (c) 24   (d) 21     (e) None of these

Ans: (d) 21

Explanation:

82% of 850 = (8 × 10% + 2%) of 850

                  = 680 + 17 = 697

i.e. 697 – 256 = ?²

 441 = 21² = 21.Ans.

Q. 40. 40% of 15% of 3/4^th of a number is 153. What is the number?

(a) 3400    (b) 3650   (c) 3600    (d) 3200   (e) None of these

Ans: (a) 3400

Explanation:

Let ‘x’ be the number

Then, 40/100 × 15/100 × ¾ × x = 153

So, x = 153 × 100  × 100 × 4/40 × 15 × 3 = 3400.Ans.

Q. 41. 185% of 400 + 35% of 240 = ?% of 1648

(a) 85   (b) 75   (c) 125   (d) 50    (e) None of these

Ans: (d) 50

Explanation:

185% of 400 = (100% + 8 × 10% + 5%) of 400

                     = 400 + 320 + 20 = 740

35% of 240 = (3 × 10% + 5%) of 240 = 72 + 12 = 84

740 + 84 = 824  

 Given that, 824 = ?/100 × 1648

? = 824 × 100/1648 = 50. Ans.

Q. 42. 15% of ?  = 94.5

(a) 14.175   (b) 1410   (c) 630   (d) 141   (e) None of these

Ans: (c) 630

Explanation:

15 ?/100 = 94.5

? = 94.5 × 100/15 = 630. Ans.

Q. 43. 63% of a number is 2583. What is 45% of that number?

(a) 1845   (b) 1763   (c) 2255   (d) 1927   (e) None of these

Ans: (a) 1845

Explanation:

63% = 2583

Then, 1% = 2583/63

45% = 2583 × 45/63 = 1845. Ans.

Q. 44. What is 240 per cent of 700?

(a) 1650    (b) 1780    (c) 1560     (d) 1710     (e) None of these

Ans: (e)   None of these

Explanation:

240% = 2 × 100% + 4 × 10%

 240% of 700 = 2 × 700 + 4 × 70 = 1680 Ans.

Q. 45. What is 30% of 25% of 3/5^th of 9800?

 (a) 433   (b) 453   (c) 441    (d) 391   (e) None of these

Ans: (c) 441

Explanation:

30/100 × 25/100 × 3/5 × 9800 = 441.Ans.

Q. 46. Sameera wove a sweater buying wool for Rs.375. She sold it for Rs.300. Calculate her loss per cent.

(a) 35%    (b) 25%   (c) 20%    (d) 15%   (e) None of these

Ans: (c) 20%

Explanation:

Percentage loss/gain = Actual loss/ gain × 100/ Cost

Actual loss = 375 – 300 = Rs.75

So, Percentage loss = 75 ×100/375 = 20%. Ans.

Q. 47. ? ÷ 6 = 30% of 860

(a) 1548   (b) 1624    (c) 17208   (d) 1428     (e) None of these

Ans: (a) 1548

Explanation:

?/6 = 30 × 860/100

? = 30 × 860 × 6/100 = 1548. Ans.

Q. 48. Ramu gave 35% of the  amount he had to Shakeel. Shakeel in turn gave two-thirds of what he received from Ramu to Joseph. After spending Rs.150 on lunch out of the amount he got from Shakeel, Joseph now has Rs.550 left with him. How much amount did Ramu have?

(a) Rs.2800   (b) Rs.2000  (c) Rs.3000   (d) Can’t be determined  (e) none of these

Ans: (c) Rs.3000

Explanation:

The amount given by Shakeel to Joseph = 150 + 550 = Rs.700

This is 2/3^rd of the amount given to Shakeel by Ramu and let the amount got by Shakeel = ‘x’

i.e. 2/3 × x = 700

Therefore, the amout given to Shakeel by Ramu , x = 700 × 3/2 = Rs.1050

Rs. 1050 is 35% of amount Ramu had

So, the Total amount Ramu had = 1050 × 100/35 = Rs.3000.Ans.

Q.49. What is the 30% of 40% of 2/5^th of 2500?

(a)500   (b) 400   (c) 360   (d) 120   (e) None of these

Ans: (d) 120

Explanation:

30/100 × 40/100 × 2/5 ×  2500 = 120.Ans.

Q. 50. Two numbers are less than the third number by 50% and 54% respectively. By how much per cent is the second number less than the first number?

(a) 13   (b) 10   (c) 12   (d) Cannot be determined   (e) None of these

Ans: (e) None of these

Explanation:

Let the third number be ‘100’

Then the first number = 100 – 50 = 50

The second number = 100 – 54 = 46

The difference between the first and the second number = 50 – 46 = 4

Therefore, the required percentage = 4 × 100/50 =8. Ans.

Q. 51. If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is 15/26. What was the original fraction?

(a) 8/11   (b) 10/11    (c) 9/13    (d) 10/13   (e) None of these

Ans: (d) 10/13

Explanation:

Let x/y be the original fraction

Then, x + 2x/100 / y + 3y/100 = 15/26

i.e. x + 2x/y + 3y = 15/16

3x/4y = 15/26

x/y = 15 × 4/26 × 3 = 10/13. Ans.

Q. 52. One – fifth of a number is 81. What will 68% of that number be?

(a) 195.2    (b) 275.4   (c) 225.6    (d) 165.8     (e) None of these

Ans: (b) 275.4

Explanation:

Let ‘x’ be the number

Then, x/5 = 81

   So, x = 81 × 5 = 405

68% = 50% + 10 % + 8 × 1%

68% of 405 = 202.5 + 40.5 + 32.4 = 275.4 Ans.

Q. 53. In an examination, 1100 boys and 900 girls appeared. 50% of the boys and 40% of the girls passed. The percentage of failed candidates is

(a) 45.0   (b) 45.5   (c) 54.5    (d) 59.2    (e) None of these

Ans: (c) 54.5

Explanation:

No. of failed boys = 550

No. of failed girls = 540

Therefore, total number of failed candidates = 1090

So, the required percentage = 1090 × 100/2000 = 54.5 Ans.

Q. 54. 56% of a number is less than its 72% by 56. What is 70% of that number?

(a) 300   (b) 235    (c) 240   (d) 350   (e) None of these

Ans: (e) None of these

Explanation:

i.e. 72 – 56 = 16 % of the number = 56

1% of the number = 56/16

Then, 70% of the number = 56 × 70/16 = 245. Ans.

Q. 55. Five – sixth of a number is 720. What will 45% of that number be?

(a) 346.6    (b) 388.8    (c) 392.2     (d) 344.4      (e) None of these

Ans: (b) 388.8

Explanation:

Let ‘x’ be the number

Then, 5x/6 = 720

So, x = 720 × 6/5 = 864

45% = 50% - 5%

45% of 864 = 432 – 43.2 = 388.8.Ans.

Q. 56.  In an examination it is required to get 380 of the aggregate marks to pass. A student gets 32% marks and is declared failed by 76 marks. What are the maximum aggregate marks a student can get?

(a) 945   (b) 975   (c) 950    (d) Cannot be determined   (e) None of these

Ans: (c) 950

Explanation:

32% of the total marks = 380 – 76 = 304

Therefore, 1% of the total marks = 304/32

So, the total marks a student can get = 304 × 100/32 =950. Ans.

Q. 57. One – seventh of a number is 51. What will be 64% of that number?

(a) 248.12  (b) 228.48    (c) 238.24     (d) 198.36    (e) None of these

Ans: (b) 228.48

Explanation:

Let ‘x’ be the number

Then, x = 51 × 7 = 357

64% = 50% + 10% + 1% × 4

So, 64% of 357 = 178.5 + 35.7 + 14.28 = 228.48 Ans.

Q. 58. The difference between 56% of a number and 41% of the same number is 660. What is 8% of that number?

(a) 321    (b) 336   (c) 345     (d) 358      (e) None of these

Ans: (e) None of these

Explanation:

56 – 41 = 15% of the number = 660

Therefore, 1% of the same number = 660/15

And so, 8%  of the number = 660 × 8/15 = 352.Ans.

Q. 59. A cricketer has batted in 105 innings. He has scored 17 centuries, crossed the 50- run mark 28 times and crossed the 25-run mark 39 times. The no. of times he has scored below 25 is what percentage of the number of times he scored between 25 and 49 ( both 25 and 49 included)?

(a) 450%   (b) 600%    (c) 500% (d) cannot be determined   (e) None of these

Ans: (b) 600%

Explanation:

The no. of times he crossed above 25-run mark = 39

So, the no. of times he crossed below the 25 – run mark = 105 – 39 = 66 times

The no. of times he crossed above 50 – run mark = 28

Therefore, the no. of times he crossed in between 25-run mark and 50-run mark = 39-28 = 11

Therefore the required percentage = 66 × 100/11 = 600%. Ans.

Q. 60. 25% of 50% of a number is 385. What is the number?

(a) 3050    (b) 3100   (c) 3004    (d) 3080     (e) None of these

Ans: (d) 3080

Explanation:

25% = ¼;     50% = ½,  and let the number be ‘x’

i.e. ¼ × ½ × x = 385

Therefore, x = 385 × 4 × 2 = 3080. Ans.

Q. 61. Samir secured 580 marks out of a total of 750 in an examination. What is Samir’s approximate percentage in the exam?

(a) 81    (b) 77    (c) 71   (d) 75    (e) 84

Ans: (b) 77

Explanation:

Required percentage = 580 × 100/750 = 77.3% = 77 approximately. Ans.

Q. 62. What is 160% of 480?

(a) 768    (b) 684   (c) 786     (d) 864     (e) None of these

Ans: (a) 768

Explanation:

160% = 100% + 50% + 10%

160% of 480 = 480 = 240 + 48 = 768. Ans.

Q. 63. 15% of the total number of students in a college play football. How many students do not play football, if the total number of students in the college is 6500?

(a) 975    (b) 5525  (c) 910    (d) 5590    (e) None of these

Ans: (b) 5525

Explanation:

15% = 10% + 5%

15 % of 6500 = 650 + 325  = 975

Therefore, the no. of students who do not play  football = 6500 – 975 = 5525.Ans.

Q. 64. 75% of a number is equal to four – fifths of another number. What is the ratio between the first number and the second number?

(a) 5 : 3   (b) 15 : 16   (c) 3 : 5   (d) 16 : 15  (e) None of these

Ans: (d) 16 : 15

Explanation:

Let the two numbers be ‘x’ and ‘y’

Then, 75x/100 = 4y/5

5 × 75x = 4 × 100y

x/y = 400/375 = 16 : 15. Ans.

Q. 65. Sunil scored 54 percent marks in a test. Ravi scored 450 marks in the same test which is 300 less than Sonu. Sunil’s score is 60 more than Sonu. If Ram scored 900 marks in the test, what is Ram’s percentage?

(a) 80    (b) 65    (c) 75    (d) 60   (e) None of these

Ans: (d) 60

Explanation:

Sonu’s score = 450 + 300 = 750

Sunil’s score = 54% of the total = 750 + 60 =810

Then, the maximum marks = 810 × 100/54 = 1500

Therefore, the required percentage = 900/1500 × 100 = 60%. Ans.

Q. 66. In a school there are 800 students out of whom 45 percent are girls. Monthly fee of each boy is Rs.600 and monthly fee of each girl is 30 percent less than each boy. What is the total monthly fee of girls and boys together?

(a) Rs.425400   (b) Rs.414600    (c) Rs.419600   (d) Rs.423400   (e) None of these

Ans: (e) None of these

Explanation:

No. of boys = 55% of 800 = 440

No. of girls = 800 – 440 = 360

Total monthly fee of boys = 440 × 600 = 264000

Total monthly fee of girls = 360 × 70% of 600 = 360 × 420 = 151200

Therefore, the total monthly fee of boys and girls = 264000 + 151200 = Rs.415200.Ans.

Q. 67. While selling a watch, a shopkeeper gives a discount of 15%. If he gives a discount of 20%, he earns Rs.51 less as profit. What is the original price of the watch?

(a) Rs.920    (b) Rs.985    (c) Rs.1125    (d) Rs.1020   (e) None of these

Ans: (d) Rs.1020

Explanation:

The difference in percentage, i.e. 20% - 15% = 5% = Rs.51

That is, Rs.51 is 5% of the original price of the watch

Therefore, the original price of the watch =  51 ×100/5 = Rs.1020.Ans.

Q. 68. Five-ninth of a number is equal to twenty five per cent of second number. Second number is equal to one-fourth of third number. The value of third number is 2960. What is 30% of first number?

(a) 88.8   (b) 99.9    (c) 66.6    (d) cannot be determined   (e) None of these

Ans: (b) 99.9

Explanation:

Let a, b, and c be the three numbers

Then, b = c/4

5a/9 = 25c/4/100,     i.e. 5a/9 = 25c/400

5a × 400 = 9 × 25c

2000a = 225c             ( given, c = 2960)

Therefore, a = 225 × 2960/2000   = 333   

So, 30% of a = 3 × 10% of a

                     = 3 × 33.3 = 99.9.Ans.

Q. 69. What is 28% of 36% of 5/7^th of 5000?

(a) 480   (b) 375    (c) 360   (d) 420    (e) None of these

Ans: (c) 360

Explanation:

28/100 × 36/100 × 5/7 × 5000 = 360. Ans.

Q. 70. In a class of 50 students and 5 teachers, each student got sweets that are 12% of the total number of students and each teacher got sweets that are 20% of the total number of students. How many sweets were there?

(a) 345   (b) 365   (c) 330   (d) 350    (e) None of these

Ans: (d) 350

Explanation:

50 × 12 × 50/100 + 5 × 20 × 50/100  = 300 + 50 = 350.Ans.

Q. 71. If the numerator of a fraction is increased by 500% and the denominator is increased by 300%, the resultant fraction is 1 1/17. What was the original fraction?

(a) 12/17   (b) 13/17    (c) 3/7   (d) 4/11   (e) None of these

Ans: (a) 12/17

Explanation:

Let x/y be the original fraction

Then, x + 5x/y + 3y = 18/17          (i.e. 500% of x = 5x, & 300% of y = 3y)

That is, 6x /4y = 18/17    i.e. 102x = 72y

Then, x/y = 72/102 = 24/34 = 12/17. Ans.

Q. 72. One-fifth of a number is 62. What will 73% of that number be?

(a) 198.7   (b) 212.5    (c) 226.3     (d) 234.8     (e) None of these

Ans: (c) 226.3

Explanation:

Let ‘x’ be the number

Then, x/5 = 62

So, x = 62 × 5 = 310

73% = 50% + 2 × 10% + 3 × 1%

So, 73% of 310 = 155 + 62 + 9.3 = 226.3. Ans.

Q. 73. In a class of 240 students, each student got sweets that are 15% of the total number of students. How many sweets were there?

(a) 3000   (b) 3125    (c) 8640    (d) Cannot be determined   (e) None of these

Ans: (c) 8640

Explanation:

Each student gets 15% of 240 sweets,  i.e. = 36 nos.

Therefore, the total number of sweets = 240 × 36 = 8640. Ans.

Q. 74. 12% of 840 × 0.25% of 148 = ?

(a) 37.296    (b) 101.17      (c) 68.432     (d) 97.046     (e) None of these

Ans: (b) 101.17

Explanation:

12% of 840 = 100.8

.25%  of 148 = .37

Required sum = 100.8 + .37 = 101.17.Ans.

Q. 75. The total number of students in the school are 4800, out of which 60% are girls. What is the total number of boys in this school?

(a) 1920   (b) 1934    (c) 1980    (d) 1910   (d) None of these

Ans: (a) 1920

Explanation:

The number of boys in the school = 100 – 60 = 40% of 4800

                                                                        = 4 × 10% of 4800

                                                                       = 4 × 480 = 1920.Ans.

Q. 76. The difference between 55% of a number and 25% of the same number is 11.10. What is 75% of that number?

(a) 27.75    (b) 37    (c) 21.25    (d) 45   (e) None of these

Ans: (a) 27.75

Explanation:

The difference in percentage, i.e. 55 -25 = 30%

30% of the number = 11.10

Therefore, 75% of that number = 11.10 × 75/30 = 111/4 = 27.75. Ans.

Q. 77. In an election between two candidates, one got 52% of the total valid votes. 25% of the total votes were invalid. The total number of votes were 8400. How many valid votes did the other person get?

(a) 3276    (b) 3196   (c) 3024    (d) Cannot be determined   (e) None of these

Ans: (c) 3024

Explanation:

Number of valid votes = 75% of 8400 = 8400 × ¾ = 6300

Percentage of valid votes got by other person = 48%

Therefore, the required number  of valid votes = 48% of 6300 = 4 × 10% + 5% + 3 × 1% of 6300

                                                                                                    = 4 × 630 + 315 + 3 × 63

                                                                                                    = 2520 + 315 + 189

                                                                                                   = 3024.Ans.

Q. 78. Two-fifth of a number is 182. What will 48% of that number be?

(a) 236.6    (b) 218.4    (c) 209.3     (d) 200.2    (e) None of these

Ans: (b) 218.4

Explanation:

Let the number be ‘x’

Then, 2x/5 = 182

Then, x = 182 × 5/2 = 91 × 5 = 455

48% =50% - 2%

 Therefore, 48% of 455 = 227.5 – 9.1 = 218.4. Ans.

Q. 79. In a school there are 250 students out of whom 12 per cent are girls. Each girl’s monthly fee is Rs.450/- and each boy’s monthly fee is 24 percent more than a girl. What is the total monthly fee of girls and boys together?

(a) Rs.136620/-   (b) Rs.136260/-    (c) Rs.132660/-   (d) Rs.132460/-     (e)None of these

Ans: (b) 136260/-

Explanation:

No. of girls = 12% of 250 = 30

No. of boys = 250 – 30 = 220

Total fee of 30 girls = 30 × 450 = Rs.13500/-

Fee for each boy = 450 + 24% of 450

                            = 450 + 108 = Rs.558

Total fee of 220 boys = 220 × 558 = Rs. 122760

Therefore, total monthly fee of boys and girls in the school = 122760 + 13500 =Rs.136260/-. Ans.

Q. 80. Ravi scored 225 marks in a test and failed by 15 marks. If the passing percentage of passing the test is 25 per cent. What are the maximum marks of the test?

(a) 860    (b) 840    (c) 920    (d) 960     (e) None of these

Ans: (d) 960

Explanation:

25% of the maximum marks = 225 + 15 = 240

Therefore, maximum marks = 240 × 4 = 960. Ans.

Q. 81. If the height of a triangle is decreased by 40% and its base is increased by 40% and its base is increased by 40%, what will be the effect on its area?

(a) No change    (b) 16% increase    (c) 8% decrease    (d) 16% decrease   (e) None of  these

Ans: (d) 16% decrease

Explanation:

Let the base = 100 and height = 100

Then the area of the triangle = ½ × base × a height

                                              = 100 × 100/2 = 5000

Now, the height is decreased to 60 and  the base is increased  to 140

Then, the area = 60× 140/2 =4200

The difference = 5000- 4200 = 800 decrease

Percentage effect on its area = 800 × 100/5000 = 16% decrease. Ans.

Q. 82. An HR Company employs 4800 people, out of which 45 per cent are males and 60 per cent of the males are either 25 years or older. How many males are employed in HR Company who are younger than 25 years?

(a) 2640   (b) 2160   (c) 1296    (d) 864      (e) None of these

Ans: (d) 864

Explanation:

No. of males = 45% = 50% - 5%

                     = 2400 – 240 = 2160

The no. of employees who are younger than 25 years = 40% of 2160

                                                                                     = 4 × 10% of 2160

                                                                                    = 4 × 216 = 864. Ans.

Q. 83. Six-eleventh of a number is equal to twenty two per cent of second number. Second number is equal to the one-fourth of third number. The value of the third number is 2400. What is the 45% of first number?

(a) 109.8   (b) 111.7     (c) 117.6     (d) 123.4     (e) None of these

Ans: (e) None of these

Explanation:

The third number = 2400

So, the second number = 2400/4 = 600

22% of 600 = 132

This 132 = 6/11 of first number

Therefore, the  first no. = 132 × 11/6 = 242

45% of 242 = 50% - 5% of 242

                   = 121 – 12.1 = 108.9.Ans.

Q. 84. Two – third of the first number is equal to the cube of the second number. If the second number is equal to twelve per cent of 50. What is the sum of the first and the second numbers?

(a) 330   (b) 360    (c) 390    (d) 372   (e) None of these

Ans: (a) 330

Explanation:

Second number = 12% of 50 = 6

2/3 × First number =  6³ = 216

First number = 216 × 3/2 = 324

Then, the sum of first and the second number = 324 + 6 = 330. Ans.

Q. 85. What is the value of twenty four percent of four-ninth of five times square of twenty seven?

(a) 388.8    (b) 376.8    (c) 378.6     (d) 346.6   (e) None of these

Ans: (a) 388.8

Explanation:

24/100 × 4/9 × 5 × 27²

24/100 × 4/9 ×5 × 27 × 27 = 388.8.Ans.

Q. 86. 14% of 80 + ?% of 90 = 31.9

(a) 16    (b) 23    (c) 18   (d) 26    (e) None of these

Ans: (b) 23

Explanation:

14% of 80 = 11.2

?% of 90 = 31.9 – 11.2 = 20.7

i.e.  ?/100 × 90 = 20.7

? = 20.7 × 100/90 = 207/9 = 23%. Ans.

Q. 87. What is the value of thirty eight per cent of seven-twelfth of twice the cube of fifteen?

(a) 1496.25    (b) 1478.50   (c) 1649.25     (d) 1748.50     (e) None of these

Ans: (a) 1496.25

Explanation:

38/100 × 7/12 × 2 × 3375 = 1496.25. Ans.

Q. 88. Previously the price of an article was Rs.460/- and now it has been increased to Rs.550/-. What was the approximate per cent increase in the price of that article?

(a) 80   (b) 8     (c) 40    (d) 60    (e) 20

Ans: (e) 20

Explanation:

The difference = Rs.90.

Therefore the percentage increase = 90 × 100/460 = 20 approximately. Ans.

Q. 89. Two numbers are greater than the third number by 40% and 48% respectively. By what per cent is the second number greater than the first number?

(a) 42.17%   (b) 57.14%   (c) 82.5%   (d) 69%    (e) 5.71%

Ans: (e) 5.71%

Explanation:

Let the third number = 100

Then, the second no. = 148 and the first number = 140

The difference 148 – 140 = 8

So, the required percentage = 8 /140 × 100 = 5.71%. Ans.

Q. 90.  In an examination Sunil secured 480 marks out of 1200 marks and failed by 96 marks. What is the minimum passing percentage?

(a) 46   (b) 45    (c) 42   (d) 38   (e) None of these

Ans: (e) None of these

Explanation:

Required marks for pass = 480 + 96 = 576

Therefore, the minimum passing percentage = 576 × 100/1200 = 48%. Ans.

Q. 91. Raman scored 456 marks in an exam and Seeta got 54 percent marks in the same exam which is 24 marks less than Raman. If the minimum passing marks in the exam is 34 per cent, then how much more marks did Raman score than the minimum passing marks?

(a) 184   (b) 196   (c) 190   (d) 180    (e) None of these

Ans: (a) 184

Explanation:

54% of the maximum marks = 456 -24 = 432

Therefore, the maximum marks = 432 × 100 /54 = 800

Then, the minimum passing marks = 34 % of 800 = 272

The mark Raman scored above the passing marks = 456 -272 = 184. Ans.

Q. 92. If a number is added to seven-ninth of thirty five percent of 900, the value so obtained is 325. What is the number?

(a) 60   (b) 120   (c) 90    (d) 180   (e) None of these

Ans: (e) None of these

Explanation:

Let ‘x’ be the number

7/9 × .35 × 900 + x = 325

Therefore, x = 325 – 245 = 80. Ans.

Q. 93. A man sold a wristwatch for Rs.2400/- at a loss of twenty five percent. At what rate should he have sold the wristwatch to earn a profit of twenty five per cent?

(a) Rs.3600   (b) Rs. 4000   (c) Rs.3500   (d) Rs.3800    (e) None of these

Ans: (b) Rs.4000

Explanation:

Rs.2400 is 75% of the cost price of the wrist watch

Therefore, the cost price = 2400 × 100/75 = Rs. 3200

To get a profit of 25%, it should be sold at Rs.3200 + 25% of 3200

         So, the required  selling price = Rs. 3200 + 800 = Rs.4000. Ans.

Q. 94. Jasmine scored 52 marks in Science, 36 marks in Hindi, 47 marks in English and 73 marks in Sanskrit. The total marks of all the subjects together is 400. What is the overall percentage of marks she got?

(a) 56    (b) 48   (c)45   (d) 52   (e) None of these

Ans: (d) 52

Explanation:

The total marks scored by Jasmine in four subjects out of 400 = 208

Therefore, the required percentage = 208/400 × 100 = 52%. Ans.

Q.95. 35% of a number is 182. What is 130% of that number?

(a) 676    (b) 667    (c) 673   (d) 663     (e) None of these

Ans: (a) 676

Explanation:

1% of the number = 182/35

Therefore, 130% of the same number = 182 × 130/35 = 26 × 26 = 676. Ans.

Q. 96. One-third of a number is 96. What will 67% of that number be?

(a) 192.96   (b) 181.44    (c) 169.92   (d) 204.48   (e) None of these

Ans: (a) 192.96

Explanation:

Let the number =x

Then, x = 3 × 96 = 288

67% = 50% + 10% + 5 % + 2 × 1%

Therefore, 67% of 288 = 144 + 28.8 + 14.4 + 5.76 = 192.96.Ans.

Q. 97. There are 360 students in a class out of which 35% are day scholars. How many day scholars are there in the class?

(a) 128   (b) 122   (c) 124   (d) 126   (e) None of these

Ans: (d) 126

Explanation:

The no. of day scholars = 35% of 360   

            = (3 × 10% + 5% ) of 360 = 3× 36 + 18 = 108 + 18

                                                                            = 126. Ans.

Q. 98. In an examination it is required to get 55% of the aggregate marks to pass. A student got 340 and was declared failed by 5% marks. What are the maximum aggregate marks a student can get?

(a) 650   (b) 660   (c) 680    (d) Cannot be determined  (e) None of these

Ans: (c) 680

Explanation:

i.e. 50% of the aggregate marks = 340

So, the aggregate marks = 340  × 2 = 680. Ans.

Q. 99. The sum of 35% of a number and 12% of the same number is 3055. What is the 72% of that number?

(a) 4685   (b) 4680   (c) 4675    (d) 4670    (e) None of these

Ans: (b) 4680

Explanation:

Let the number be ‘x’

Then, 35x/100 + 12x/100 = 3055

i.e. 35x + 12x/100 =3055

     47x = 305500

So, x = 305500/47 = 6500

72 % = 50% + 2 × 10% + 2× 1%

Therefore, 72% of 6500 = 3250 + 1300 + 130 = 4680. Ans.

Q. 100. In an examination it is required to get 65% of the aggregate marks to pass. A student gets 522 marks and is declared failed by 7% marks. What are the maximum aggregate marks a student can get?

(a) 850  (b) 780   (c) 900  (d) Cannot be determined  (e) None of these

Ans: (c) 900

Explanation:

That is, 65 – 7 =58% of the maximum marks = 522

So, 1% of the aggregate marks = 522/58

Therefore, the aggregate marks = 522 × 100/58  = 900. Ans.