Question 1

What is 70 of 50?

Accepted Answer

what is 70 of 50 means 70% of 50 ⇒ 70 x 50 100 = 7 x 5 = 35 Hence, 70 of 50 is 35.

Question 2

4 45 of 259.99 = ? % of 1247.9

Accepted Answer

Given 4 4 5 of 259.99 = ? % of 1247.9 24/5 x 260 = ? x 1248/100 ? = 1248 x 100/1248 ? = 100.

Question 3

82.5% of 2360?

Accepted Answer

Given 82.5% of 2360 82 . 5 100 x 2360 = 0 . 825 x 2360 = 1947

Question 4

In a city of engineers of 4800, the number of female engineers are 3/8th of them. The number of female engineers is what percentage of the number of male engineers?

Accepted Answer

Total engineers = 4800 Number of female engineers = 3/8 x 4800 = 1800 Then, number of male engineers = 4800 - 1800 = 3000 Now, required is female engineers is what percentage of the number of male engineers => 1800 is what % of 3000 => p x 3000/100 = 1800 => 30p = 1800 p = 60% Hence, female engineers is 60 percentage of the number of male engineers.

Question 5

Suresh starts working as a analyst on an annual salary of Rs. 160000. If he receives a 15% pay-rise each year, the number of years he has worked for the company, when his annual salary became Rs. 279841 is

Accepted Answer

From the given data in the question, 279841 = 160000 x 1 + 15 100 t 279841 160000 = 115 100 t t = 4 years.

Question 6

In a test, 14% of the students failed in Maths and 22% failed in Hindi. If 18% of the students failed in both the subjects, then the percentage of students who passed in both the subjects is

Accepted Answer

Let the number of students = 100 Number of students who failed in one or more subjects = 14 + 22 + 18 = 54% The percentage of students who passed in both the subjects = 100 - 54 = 46%.

Question 7

Ramesh started a software business by investing Rs. 50,000. After six months, Rajesh joined him with a capital of Rs. 75,000. After 3 years, they earned a profit of Rs. 27,000. What was Rajesh's share in the profit?

Accepted Answer

Ramesh : Rajesh =(50,000*36) : (75,000*30) =4 : 5. Therefore, Rajesh's share=Rs.(27,000*5/9)= Rs.15,000.

Question 8

A merchant commences with a certain capital and gains annually at the rate of 30 per cent. At the end of 2 years he has worth Rs 10,000. What was the original capital?

Accepted Answer

Let the Original capital amount be Rs. P Given after 2 years the amount is Rs. 10000 Rate of interest = 30% According to the question, P x 130 100 x 130 100 = 10000 = > P = 1000000 169 = 5917 Therefore, the capital amount P = Rs. 5917

Question 9

What percent of a day is 3 hours?

Accepted Answer

Let p% of a day is 3 hrs. We know that a day has 24 hrs. => p x 24/100 = 3 => p = 300/24 => p = 12.5% Hence, 3 hrs is 12.5% of a day.

Question 10

125% as a Fraction?

Accepted Answer

Literally any percentage means divide by 100. So 125 % = 125 100 . That can be reduced to 5/4. To convert to a decimal, you can do long division, dividing 5 into 4.

Question 11

An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tic…

Accepted Answer

Let initially 'X' ticket has been sold. So now in 2nd week 20% increases, so => X x 120/100 In 3rd week 16% increases, so => X x (120/100) x (116/100) In 4th week 20% decrease, so => X x (120/100) x (116/100) x (80/100) = 1392 X = 1250.

Question 12

There are 600 Kabaddi players 4% wear knee band on one leg. Of the remaining, 25% wear knee bands on both legs. How many players don't wear a knee band ?

Accepted Answer

There are 600 Kabaddi players 4% wear knee band on one leg Remaining players = 600 x 0.96 = 576 Of the remaining, 25% wear knee bands on both leg and Of the remaining, 75% do not wear knee bands . So players not wearing knee bands = 0.75 x 576 = 576 x 3/4 = 144 x 3 = 432.

Question 13

What is better, to have 70% discount or 40 and 30% discount consequently ?

Accepted Answer

Let Price be Rs.100 1st CASE: Then 100 x 70/100 = 70 => price after discount = 100-70 = Rs.30 2nd CASE: Then 100 x 40/100 = 40 => price after discount = 100-40 = Rs.60 then 60 x 30/100 = 18 => price after 2 consequent discount = 60-18 = Rs.42 =>from 1 and 2 cases, 70% discount is better.

Question 14

If three eighth of a number is 141. What will be the approximately value of 32.08% of this number ?

Accepted Answer

K x 3/8 = 141 => K = 376 376 x 32.08/100 = 120

Question 15

If the price of diesel increases by 25% and Karthik intends to spend only an additional 15% on diesel, by how much % will he reduce the quantity of diesel purchased ?

Accepted Answer

Let the price of 1 litre of diesel be Rs.x and let Karthik initially buy 'y' litres of diesel. Therefore, he would have spent Rs. xy on diesel. When the price of diesel increases by 25%, the new price per litre of diesel is 1.25x. Karthik intends to increase the amount he spends on diesel by 15%. i.e., he is willing to spend xy + 15% of xy = 1.15xy Let the new quantity of diesel that he can get be 'q'. Then, 1.25x x q = 1.15xy Or q = (1.15/1.25)y = 0.92y. As the new quantity that he can buy is 0.92y, he gets 0.08y lesser than what he used to get earlier. Or a reduction of 8%.

Question 16

Mohan spends 23% of an amount of money on an insurance policy, 33% on food, 19% on children’s education and 16% on recreation. He deposits the remaining amount of Rs. 504 in bank. How much amount does he spend on food and insurance policy together?

Accepted Answer

Let total amount = Rs. P Total expenditure = (23 + 33 + 19 + 16)% of P = 91%ofP Remaining money = (100 - 91)% of P = 9% of P But given in the question that, 9% of P = 504 9p/100 = 504 => P = 50400/9 => P = Rs. 5600 Required money spent on Food & Insurance = 23 + 33 % = 56% of 5600 = 56 x 5600/100 = 56 x 56 = Rs. 3136

Question 17

When the price of whear was increased by 32%, a family reduced its consumption in such a way that the expenditure on wheat was only 10% more than before. If 30 kg per month were consumed before, find the new monthly consumption of family?

Accepted Answer

Initial wheat per kg cost be Rs. 100 Then, monthly expenditure of the family = 30 x 100 = 3000 After increase in cost, Let P be new monthly consumption of family. P x 132 = 110/100 x 3000 => P = 25 kg.

Question 18

In a class 60% of the students pass in English and 45% pass in Hindi. If 25% of them pass in both subjects, what percentage of the students fail in both the subjects?

Accepted Answer

Percentage of students passed in English = 60% Percentage of students passed in Hindi = 45% Percentage of students passed in both subjects = 25% ATQ, Percentage of students passed in only English = 60 - 25 = 35% Percentage of students passed in only Hindi = 45 - 25 = 20% Therefore, Percentage of students failed = 100 - (35 + 25 + 20) = 100 - 80 = 20%.

Question 19

In a class of 80 students and 5 teachers, each student got shopping coupons that are 15% of the total number of students and each teacher got shopping coupons, that are 25% of the total number of students. How many shopping coupons were there?

Accepted Answer

Given total number of students = 80 Total teachers = 5 Number of coupons each student got = 15 x 80/100 = 12 Number of coupons each teacher got = 25 x 80/100 = 20 Therefore, total number of shopping coupons = 80 x 12 + 5 x 20 = 960 + 100 = 1060.

Question 20

A person purchase 50 mangoes he sells 10 at 20% profit, 20 at 30% profit and rest got rotten. Find its total loss or profit%?

Accepted Answer

Let the cost price of each mango be Rs. 1 So 50 mangoes costs = Rs. 50 20% Profit on Selling Price of 10 mangoes = Rs. 12 30% Profit on Selling Price of 20 mangoes = Rs. 26 Total = Rs. 38 Loss = 50 - 38 = 12 Loss% = (12/50) x 100 = 24%.

Percentage Questions