Question 1

100 percent of which number is 20?

Accepted Answer

Let the rquired number be 'P' According to the question, 100 x P 100 = 20 = > P = 20 x 100 100 = 20 Hence, 100 percent of the number 20 is 20. Now, you can also try for 20 percent of what number is 100 20 x P 100 = 100 = > P = 100 x 100 20 = 500 = > P = 500 Hence, 20 percent of the number 500 is 100.

Question 2

One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ?

Accepted Answer

One-quarter of one-seventh = 1/4 x 1/7 = 1/28 Now, 1/28 of a land costs = Rs. 30,000 Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15 = Rs. 2,24,000.

Question 3

A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number ?

Accepted Answer

x - 35 = 80x/100 => x = 175 => 4x/5 = 4x175/5 = 140.

Question 4

600 students took the test on physics and chemistry. 35% students failed in physics and 45% students failed in chemistry and 40% of those who passed in chemistry also passed in physics, then how many students failed in both:

Accepted Answer

Physics Chemistry Failed 35% 45% Passed 65% 55% Passed in both = 22% of total student percentage of students who are passed in any of the physics or chemistry or both =(65+55) - 22 = 98% So, the percentage of students who are failed in both = 2% Therefore, total failed (in both subjects) students = 12

Question 5

The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure o…

Accepted Answer

Quantity X Rate = Price 1 x 1 = 1 0.7 x 1.25 = 0.875 Decrease in price = (1-0.875) x 100 = 12.5%

Question 6

A number X is mistakenly divided by 10 instead of being multiplied by 10. What is the percentage error in the result?

Accepted Answer

By mistake = x/10 Actual value = x * 10 % Change = 10 x - x 10 10 x × 100 = 99 100 × 100 = 99% (negative) Since actual value is greater than the wrong value.

Question 7

The length of a rectangular plot is increased by 50%, to keep its area unchanged, the width of the plot should be decreased by ______?

Accepted Answer

% Decrease in Width = 50 150 x 100 = 33.33%

Question 8

A girl read 2/5 part of a book in 1st day, 34% in second day and remaining page in next two days. In two days she read equal number of page. If she read 52 pages on last day, then find out how many pages did the book contain?

Accepted Answer

1st day the girl read = 40% 2nd day she read = 34 % Remaining percentage of book = 100% - (40% +34%) = 26% But given last two days she read equal number of pages => Each day she read 26%/2 = 13% Last day she read 52 pages = 13% 13% = 52 1% = 4 => 100% = 400 Total pages in the book is 400.

Question 9

A farmer divides his herd of k cows among his 4 sons, so that one son gets one half of the herd, the second gets one-fourth, the third gets one-fifth and the fourth gets 9 cows. Then k is equal to ?

Accepted Answer

Given total number of cows = k Now, 1st son share = k/2 2nd son share = k/4 3rd son share = k/5 4th son share = 9 (k) + (k/4) + (k/5) + 9 = k => k - (19k/20) = 9 => (20k-19k)/20 = 9 => k = 180.

Question 10

The percentage discount offered for "Buy 6 get 1 free is" ?

Accepted Answer

Total Items = 7 Discounted = 1 Percentage = 1/7 x 100 = 14.285%

Question 11

A house owner wants to get his house painted. He is told that this would require 45 kg of paint allowing 6% wasting. And if the paint is available in 4 kg tins only, the number of tins required for painting the house is ?

Accepted Answer

Given 45 kg for painting And 6% 0f 45 for wasting => 6x45/100 = 2.7 kg Now total paint required = 45+2.7 = 47.7 kgs But tins are available in only 4kgs Then, no. of tins req = 47.7/4 = 11.4 => 12 tins

Question 12

30% of 500 rupees is?

Accepted Answer

Given 30% of 500 = 30 100 x 500 = 30 x 5 = 150 Hence, 30% of Rs. 500 = Rs. 150.

Question 13

A Shopkeeper charges sales tax of x% upto Rs.2,000 and above it he charges y%. A customer pays total tax of Rs 320, when he purchases the goods worth Rs. 6,000 and he pay's the total tax of Rs. 680 for the goods worth Rs. 12,000. The value of (x-y) …

Accepted Answer

2000 x X 100 + 4000 x Y 100 = 320 and 2000 x X 100 + 10000 x Y 100 = 680 x = 4 and y = 6 x-y = -2

Question 14

83% of 2350 = ?

Accepted Answer

83% of 2350 = ? 83/100 x 2350 =8.3 x 235 =1950.50

Question 15

A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?

Accepted Answer

Let the number be 'x' Then, according to the given data, 5 2 x - 2 5 x 5 2 x x 100 = 21 25 x 100 = 84%

Question 16

In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ?

Accepted Answer

Given 40% minimum passing marks for boys = 483 + 117 = 600 => 1% = 600/40 => 100% = 600 x 100/40 = 1500 Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.

Question 17

If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ?

Accepted Answer

Let the numbers be p & q q-p/4 = 4q/6 => q-4q/6 = p/4 => 2q/6 = p/4 => p/q = 4/3

Question 18

Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ?

Accepted Answer

Let 'M' be the maximum marks in the examination. Therefore, Madhu got 32% of M = 32M/100 = 0.32M And Kumar got 42% of M = 42M/100 = 0.42M. In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1) The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2) Now, Equating (1) and (2), we get 0.1M = 24 => M = 24/0.1 = 240 'M' is the maximum mark and is equal to 240 marks. We know that Madhu got 32% of the maximum marks. Therefore, Madhu got 32 x 240/100 = 76.8 marks. We also know that Madhu got 8 marks less than the cut-off marks. Therefore, the cut-off marks will be 8 marks more than what Madhu got = 76.8 + 8 = 84.8.

Question 19

80% of 900 + 162 x 4 x ? = 113 - 99

Accepted Answer

80x900/100 + 256 x 4 x ? = 1331 - 99 720 + 1024 x ? = 1232 ? = 1232 - 720/1024 ? = 512/1024 = 0.5 ? = 0.5

Question 20

A jar can 20 litre milk. From the jar, 4 litres milk was taken out and replaced with an equal quantity of water. If 4 litres of the newly formed mixture is taken out of the can, then what is the final quantity of milk left in the can?

Accepted Answer

This can be solved as 20 1 - 4 20 2 = 20 1 - 1 5 2 = 20 4 5 2 = 20 16 25 = 64 5 = 12 . 8

Percentage Questions