Percentage Questions with Solutions | Set 3 (Q21 to Q30)

This set contains Percentage Questions with Solutions — Set 1 (Q1 to Q10) 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.

21. If Ram’s height is 10% more than Shyam’s height. By how much % is Shyam’s height less than that of Ram’s ?

22. A labour works 50 hrs. per week and he earns Rs. 3600 as wages. If his per hour wage is increased by 40% and duration of work is reduced by \(16\frac{2}{3}\)%, find the % change in his income.

23. Tax imposed on an article is increased by 20% and its consumption is decreased by 20%. Find the % change in revenue from it.

24. In a library, 40% of the books are in Egnlish. 30% of the remaining are in French and 60% of the remaining are in Russian. The remaining 16800 books are in Hindi. What is the total number of bricks in the library.

25. The ratio of the number of males to that of females in a village is 3 : 2. If 30% of males and 70% of females are educated then find the ratio of the number of persons educated to uneducated.

26. If one side of a rectangle is increased by 5% and the other side is increased by 20%. Find the percentage value of which the area changes.

27. In an examination A got marks 20% less than B. B got marks 25% more than C. C got marks 20% less than D. If A got 320 marks out of 500 then how much marks D got ?

28. The ratio of number of boys and girls in a college is 4 : 5. If 15% of the boys & 20% of the girls are scholarship holders. Find the percentage of the college students who are not scholarship holders.

29. A cow an a bull costs Rs. 1000 and 800 respectively. If the price of the cow and that of the bull is increased by 10% and 20% respectively then find the total cost of the one dozen cow and one dozen bulls.

30. After three successive equal % rise in the salary, the sum of Rs. 100 turned into 133 Rs. and 10 paise. Find the percentage rise in the salary.
(i). 10        (ii). 11        (iii). 14         (iv). 16

Check your answers below. Each solution is written exactly the way a student writes in their own notebook — clear, simple and easy to follow.

21. If Ram’s height is 10% more than Shyam’s height. By how much % is Shyam’s height less than that of Ram’s ?
Solution:-

22. A labour works 50 hrs. per week and he earns Rs. 3600 as wages. If his per hour wage is increased by 40% and duration of work is reduced by 1623%, find the % change in his income.
Solution:-

∴ required % = \(\frac{5}{{30}} \times 100\) = \(\boldsymbol{16\frac{2}{3}\%}\)      Answer
Here the First sentence of the question is irrelevant.

23. Tax imposed on an article is increased by 20% and its consumption is decreased by 20%. Find the % change in revenue from it.
Solution:
                           \(20\% = \frac{1}{5}\)                   

25. The ratio of the number of males to that of females in a village is 3 : 2. If 30% of males and 70% of females are educated then find the ratio of the number of persons educated to uneducated.
Solution:

26. If one side of a rectangle is increased by 5% and the other side is increased by 20%. Find the percentage value of which the area changes.
Solution:-

27. In an examination A got marks 20% less than B. B got marks 25% more than C. C got marks 20% less than D. If A got 320 marks out of 500 then how much marks D got ?
Solution:

28. The ratio of number of boys and girls in a college is 4 : 5. If 15% of the boys & 20% of the girls are scholarship holders. Find the percentage of the college students who are not scholarship holders.
Solution:

∴ Required % = \(\frac{{740}}{{900}} \times 100\) = \(\boldsymbol{82\frac{2}{9}\%} \)        Answer

29. A cow an a bull costs Rs. 1000 and 800 respectively. If the price of the cow and that of the bull is increased by 10% and 20% respectively then find the total cost of the one dozen cow and one dozen bulls.
Solution:

30. After three successive equal % rise in the salary, the sum of Rs. 100 turned into 133 Rs. and 10 paise. Find the percentage rise in the salary.
(i). 10        (ii). 11        (iii). 14         (iv). 16
Solution:
% rise in salary = \(\frac{{133.1 – 100}}{{100}} \times 100 = 33.1\% \)
now take the help of options
option (i) ⟹ 
                    Using formula  \(x + y + \frac{{xy}}{{100}}\)
⟹ \(10 + 10 + \frac{{10 \times 10}}{{100}}\)
= 21%
again
      \(21 + 10 + \frac{{21 \times 10}}{{100}}\)
= 31 + 2.1
= 33.1%
Hence option (i) 10% is correct option           Answer

✅ Well done on completing Set 3!

Continue practising with Percentage Questions 31 to 40 → Set 4 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.