Question 1

The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. The percentage of slump in business is?

Accepted Answer

Let the business value change from A to B. Then, 4% of A = 5% of B ⇒ 4A/100 = 5B/100 ⇒ B = 4A/5 ∴ change in business = (A - 4A/5) = A/5 Percentage slump in business = {(A/5)/A} x 100 % = 20%

Question 2

One-third of 1206 is what percent of 134?

Accepted Answer

Let one-third of 1206 is N% of 134. ∵ 1206/3 = (N x 134)/100 ∴ N = (402 x 100) / 134 = 300

Question 3

96% of the population of a village is 23040. The total population of the village is?

Accepted Answer

∵ 96% of P = 23040 ∴ P = (23040 x 100) / 96 = 24000

Question 4

After deducting a commission of 5% a T.V. set costs Rs. 9595. Its gross value is?

Accepted Answer

∵ 95% of gross value = 9595 ∴ gross value = (9595 x 100)/95 = 10100

Question 5

A man spends Rs. 3500 per month and saves 12 1/ 2% of his income. His monthly income is?

Accepted Answer

∵871/2% of P = 3500 ⇒ {(175/2) x P} / 100 = 3500 ∵ P = (3500 x 2 x 100) / 175 = 4000

Question 6

A fruit seller had some apples. He sells 40% and still has 420 apples. Originally, he had?

Accepted Answer

∵ 60% of N = 420 ∴ N = (420 x 100)/60 = 700

Question 7

A ore contains 12% copper. How many kg of ore are required to get 69 kg of copper?

Accepted Answer

&becaus 12% of W = 69 ⇒ W = (69 x 100) / 12 = 575 kg

Question 8

In an examination 65% of the total examinees passed if the number of failures is 420 total number of examinees is?

Accepted Answer

35% of N = 420 ∴ N = (420 x 100) / 35 = 1200

Question 9

75% of a number when added to 75 is equal to the number. The number is?

Accepted Answer

75 + 75% of N = N ⇒ N -3N/4 = 75 ⇒ N/4 = 75 ∴ N = (75 x 4) = 300

Question 10

What will be 80 percent of a number whose 200 percent is 90?

Accepted Answer

∵ 200% of N = 90 ⇒ N = (90 x 100) / 200 = 45 ∴ 80% of N = (80 x 45) / 100 = 36

Question 11

The price of rice has increased by 60%. In order to restore to the original price, the new price must be reduced by?

Accepted Answer

Let original price = Rs. 100 ⇒ Increase price = Rs. 160 ⇒ Decrease on Rs. 160 = Rs. 60 ∴ Decrease on Rs. 100 = (60/160) x 100 % = 371/2%

Question 12

One litre of water is evaporated from 6 litre of a solution containing 5% salt. The percentage of salt?

Accepted Answer

Salt in 6 liter = 5% of 6 = 0.30 liter Salt in new solution = (0.30/5) x 100% = 6%

Question 13

√ (3.6% of 40) is equal to?

Accepted Answer

√(3.6/100) x 40 = √1.44 = 1.2

Question 14

A student is required to secure at least 50% marks in order to pass an examination. He secured 50 marks which were less than the minimum passing marks by 50. The maximum marks of the paper are?

Accepted Answer

Minimum passing marks = 50 + 50 = 100 Let the total marks = x Then, 50% of x = 100 ⇒ x = (100/50) x 100 = 200

Question 15

Two numbers X and Y are respectively 30% and 35% less than a third number Z . By what percentage is the number Y less than that of the number X?

Accepted Answer

Let Z = 100, X = 100 - 30 = 70 Y = 100 - 35 = 65 ∴ Y is less by X = (70 - 65)/70 x 100% = 5/70 x 100% = 71/7 %

Question 16

A furniture seller sells two tables at ₹ 1500 each. He earned a profit of 20% on one table and suffered a loss of 20% on the another table. Net profit or loss in this deal is?

Accepted Answer

Profit or loss percent = ab/100 % = (20 x 20)/100 % = -4%

Question 17

What is 5% of 50% of 500?

Accepted Answer

5% of 50% of 500 = (5/100) x (50/100) x 500 = 12.5

Question 18

if 20% of N = 90, find N.

Accepted Answer

20% of N =90 ⇒ N x (20/100) = 90 ⇒ N = 90 x 5 = 450

Question 19

89% of? + 365 = 1075.22

Accepted Answer

89% of ? + 365 = 1075.22 ⇒ (89/100) x ? = 1075.22 - 365 ∴ ? = 71022/89 = 798

Question 20

If 15% of A is equal to 20% of B, then 25% of A is equal to what per cent of B?

Accepted Answer

Given, P = 15, Q = 20 and R = 25 According to the formula R% of A = [(QR)/P]% of B 25% of A = (20 x 25)/15 % of B = 100/3 % of B = 331/3 % of B

Percentage Questions