Question 1

A number increased by 137 1/ 2 % and the increment is 33. The number is

Accepted Answer

Let the number be N, Then, 137.5% of N = 33 ∴ N = (33 x 100)/137.5 = 24

Question 2

A person's salary has increased from₹ 7200 to ₹ 8100. What is the percentage increased in his salary?.

Accepted Answer

Percentage increased in salary = [(8100 - 7200)/7200] x 100 = [900/7200] x 100 = 12.5% = 121/2%

Question 3

If A's income is 5/6th of B's income, then B's income is more than A's income by

Accepted Answer

Given, A = 5B/6 Let Income of B = N ∴ A = 5N/6 Required percentage = [(N - 5N/6) / (5N/6)] x 100 = [(6N - 5N)/5N] x 100 = (1/5) x 100 = 20%

Question 4

25% of what amount of money is equal to 12 1/ 2 of ₹ 180?

Accepted Answer

Let the required amount of money be N. Then, N x 25% = 180 x 121/2% ∴ N = (180 x 12.5)/25 = ₹ 90

Question 5

30% of a 3 digit number is 190.8. What will be 125% of that number?

Accepted Answer

Let N be the number Then, 30% of N = 190.8 ⇒ N = (190.8 x 100)/30 = 636 ∴ 125% of 636 = (125 / 100) x 636 = 795

Question 6

The monthly income of a person is ₹ 5000. If his income is increased by 30% then what is his monthly income now?

Accepted Answer

Monthly income of a person = ₹ 5000 Increment in income = (30/100) x 5000 = 1500 New income = 5000 + 15000 = ₹ 6500

Question 7

When 35 is subtracted from a number, it reduced to its 80%. What is 4/5th of that number?

Accepted Answer

Let the number be N. Then N - 35 = 80N/100 ⇒ N - 4N/5 = 35 ⇒ N / 5 = 35 ⇒ N = 175 ∴ Required number = 175 x (4/5) = 35 x 4 = 140

Question 8

If income of Vandana is 25% more than that of Aarti, then income of Aarti is how much per cent less than of Vandana?

Accepted Answer

Let Aarti's income be ₹ 100 ∴ Vandana's income = ₹ 125 ∴ Aarti's income is ₹ 25 less than 125. ∴ Required percentage = (25/125) x 100% = 20%

Question 9

50 kg is what per cent of 250 kg?

Accepted Answer

Required percentage = (50/250) x 100% = 20%

Question 10

What is 32% of 3/8 th of 5000?

Accepted Answer

32%of 3/8 of 5000 = (32/100) x (3/8) x 5000 = 4 x 3 x 50 = 600

Question 11

If length and breadth of a rectangle became half and double respectively, then what will be the resultant area?

Accepted Answer

According to the question, Change in length of rectangle = - 50% = a Change in breadth of rectangle = 100% = b Net effect = a + b + (ab)/100 % = - 50 + 100 + [(-50) (100) / 100]% = 0%

Question 12

Two number are respectively 20% and 50% more than a 3rd number, What is the percentage of 2nd with respect to 1st?

Accepted Answer

III II I 100 150 120 Required percentage = (150/120) x 100% = 125%

Question 13

In order to pass in an exam, a students is required to get 780 marks out of the aggregate marks. Sonu got 728 marks and was declared failed by 5%. What are the maximum aggregate marks a student can get in the examination?

Accepted Answer

Let the maximum marks be N . According to the question, Then, 780 - 728 = 5% of N ⇒ 52 = 5% of N ∴ N = 5200/5 = 1040

Question 14

Reena got 76 marks in Hindi, 48 marks in science, 84 marks in Mathematics, 38 marks in Social Science and 72 marks in English. The Maximum marks of each subjects was 100. How much over all percentage of marks she got?

Accepted Answer

Total marks obtained = (76 + 48 + 84 + 38 + 72) = 318 Maximum marks = 5 x 100 = 500 ∴ Requirred percentage = (318/500) x 100 % = 63.6 %

Question 15

A saves 20% of his monthly salary. If his monthly expenditure is ₹ 6000 then his monthly saving is?

Accepted Answer

Saving = 20% Expenditure = 80% = ₹6000 Since 80% is 6000 so 20% would be 6000/4 = ₹1500 Hence net saving per month = ₹1500

Question 16

A's salary is 20% less than B' s salary. Then B's salary is more than A's salary by

Accepted Answer

Given, a = 20% Required percentage = [a/(100 - a)] x 100% = [20/(100 - 20)] x 100% = (20/80) x 100% = 25%

Question 17

The price of 10% increased of an article of ₹ 100, then again 10% increased the price. How much is increased in total price.

Accepted Answer

10% of 100 = 10 New price = 110 Again, 10% of 110 = 110 x (10/100) = 11 New price = 110 + 11 = 121 ∴ Required increment = 121 - 100 = 21

Question 18

A man sells a chair and a table, both at same price of Rs. 4000 each and is neither gaining nor losing in the deal. If he sold the chair at profit of 25% then he sold table at loss of?

Accepted Answer

CP of the chair which is sold at 25% of profit = Rs 4000/ (1+ 25%) = Rs 4000/1.25 = Rs 3200 Now given, that sum of CP pf table and chair= sum of SP of table and Chair ⇒ 8000= 3200 + CP of Table ⇒ CP of Table = Rs 4800 ⇒ Loss on Cost price of table = Rs 4800- Rs 4000= Rs 8000 ⇒ Loss % = 8000/4800 = 16.66%

Question 19

Rakesh credits 15% of his salary in his fixed deposit account and spend 30% of the remaining amount on groceries. If the cash in hand is Rs. 2380, What is this salary?

Accepted Answer

Let salary be Rs. A, then A - 15 % of A - 30% of 85% of A = 2380 ⇒ A - 15A/100 - (30 x 85 x A)/(100 x 100) = 2380 ⇒ 200A - 30A - 51A = 2380 x 200 ⇒ 119A = 2380 x 200 ∴ A = (2380 x 200)/199 = 4000

Question 20

A man donated 5% of his income to a charitable organisation and deposited 20% of the remainder in a bank. If he now has Rs. 1919 left, what is his income?

Accepted Answer

Let his income be Rs. N, then N - 5% of N - 20% of 95% of N = 1919 ⇒ N - N/20 - (20 x 95 x N)/(100 x 100) = 1919 ⇒ N - N/20 - 19N/100 = 1919 ⇒ 100N - 5N - 9N = 191900 ∴ N = 191900 / 76 = 2525

Percentage Questions