This set contains Percentage Questions with Solutions — Set 2 (Q11 to Q20) covering a mix of question types and difficulty levels — from basic to advanced — exactly as asked in real competitive exams.
Solutions are written in a simple, step-by-step notebook style for easy self-study and quick understanding. Each solution is broken down step by step so even the toughest question feels easy. These questions are hand-picked for students preparing for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and all campus placement aptitude tests. International students preparing for GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests will find these equally useful.
✏️ Attempt each question on your own first — then check the solution below.
Percentage Questions 11 to 20 with Solutions
11. The price of a commodity rises from Rs. 10 per kg to 12.5 per kg. If the expenditure can not increase then find the percentage of reduction in consumption.
12. If length of a rectangle is increased by \(62\frac{1}{2}\)% and its breadth is decreased by 20%. Find the % change in area.
13. If the side of a square is increased by 20% then find the percentage change in its area.
14. The sale of a cinema ticket is increased by \(16\frac{2}{3}\)% and the price of ticket is increased by \(14\frac{2}{7}\)%. Find the percentage change in revenue.
15. If one side of a rectangle is increased by \(37\frac{1}{2}\)% and the otherside is decreased by 10%. Find the % change in its area.
16. Two numbers are respectively 10% and 20% more than a third number. What percentage is the first of the second.
17. The price of wheat is increased by 40%. If the expenditure on wheat has to be kept the same as earlier. Find the ratio between the reduction in consumption and the original consumption.
18. A reduction in the price of apples a person to purchase 3 apples for Rs. 1 instead of Rs. 1.25. What is the % of reduction in price ?
19. A number is first reduced by 20% and then it is increased by 80%. what is the net effect of this change ?
20. Two numbers are respectively 10% and 5% less than a third number. what percentage is the first number of the second ?
Solutions — Percentage Questions 1 to 10
Check your answers below. Each solution is written exactly the way a student writes in their own notebook — clear, simple and easy to follow.
11. The price of a commodity rises from Rs. 10 per kg to 12.5 per kg. If the expenditure can not increase then find the percentage of reduction in consumption.
Sol:
% increase in price = \(\frac{{12.5 – 10}}{{10}} \times 100\)
= 25%
Explanation:
Firstly we have calculated % increase in price then converted it into its equivalent fraction \(\left( {\frac{1}{4}} \right)\)
Now let original price is 4 ⟹ it increases by 25% i.e. by 1 then new price will become 5.
price % consumption = expenditure
Hence to keep expenditure fixed ⟹ consumption is reduced from 5 to 4
so in both the cases expenditure will be 4 × 5 = 20
Now expenditure will be 5 ⟶ 4
∴ its equivalent percentage = \(\frac{{4 – 5}}{5} \times 100\) = – 20%
i.e. consumption should be decreased by 20%.
12. If length of a rectangle is increased by \(62\frac{1}{2}\)% and its breadth is decreased by 20%. Find the % change in area.
Sol:
Area = length × breadth
∴ % change in area = \(\frac{7}{{25}} \times 100\) = 28% Answer
13. If the side of a square is increased by 20% then find the percentage change in its area.
Sol:
20% = \(\frac{1}{5}\)
14. The sale of a cinema ticket is increased by \(16\frac{2}{3}\)% and the price of ticket is increased by \(14\frac{2}{7}\)%. Find the percentage change in revenue.
Sol:
15. If one side of a rectangle is increased by \(37\frac{1}{2}\)% and the otherside is decreased by 10%. Find the % change in its area.
Sol:
16. Two numbers are respectively 10% and 20% more than a third number. What percentage is the first of the second.
Sol:
∴ required % = \(\frac{{110}}{{120}} \times 100\)
= \(91\frac{2}{3}\)%
17. The price of wheat is increased by 40%. If the expenditure on wheat has to be kept the same as earlier. Find the ratio between the reduction in consumption and the original consumption.
Sol:
18. A reduction in the price of apples a person to purchase 3 apples for Rs. 1 instead of Rs. 1.25. What is the % of reduction in price ?
Sol:
∴ % decrease = \(\frac{{0.25}}{{1.25}} \times 100\)
= 20% Answer
19. A number is first reduced by 20% and then it is increased by 80%. what is the net effect of this change ?
Sol:
20. Two numbers are respectively 10% and 5% less than a third number. what percentage is the first number of the second ?
Sol:
10% = \(\frac{{10}}{{100}}\)
5% = \(\frac{{5}}{{100}}\)
✅ Well done on completing Set 2!
Continue practising with Percentage Questions 21 to 30 → Set 3 or revisit the Percentage Concept Page to strengthen your formulas and tricks before moving ahead.
Consistent practice is the key to mastering percentage for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and international exams including GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests. Want to understand the concept better? Read about Percentage on Wikipedia before attempting the next set.
This page is part of our complete series of percentage questions with solutions for competitive exams — covering every question type from basic to advanced so you can build speed, accuracy and confidence. Practising these questions regularly will also strengthen your core percentage concept before your exam day.
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