Percentage Questions with Solutions — Set 5 (Q41 to Q50)

This set contains Percentage Questions with Solutions — Set 5 (Q41 to Q50) 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.

41. In a class, number of girls is more than the number of boys by 20% of the total strength. What is the ratio of boys to girls ?

42. The radius of sphere is 10 cm. Find out its surface area is how % of its volume?

43. A fruit seller had some apples. He sells 40% apples and stills has 360 apples. Then how much apples originally he had ?

44. A customer asks for the production of ‘a’ number of goods. The company produces ‘b’ number of goods daily, out of which c% units are for sale. Then in how many days order will be completed ?

45. The sujm of two numbers is 280. If the bigger number is decreased by 54% and the smaller number is increased by 15% then the number obtained are equal. Find the numbers.

46. The expences on wheat, Rice and sugar of a familuy are in the ratio 15 : 18 : 7. The price of theser articles are increased by 20%, 30% and 40% respectively. Then find the total increased expense of the family.

47. Due to an increase of 50% in the price of bananas, 4 bananas less are available for Rs. 24. What will be the present rate of per dozen bananas ?

48. 90% of boys in a school passed in Hindi, 50% passed in english and 240 boys passed in both the subjects. If no student failed in both the subjects, then find the total number of boys.

49. Ankit spents \( \boldsymbol{33\frac{1}{3}} \) of his salary on the item of daily use and 30% of the remainder on house rent. After that he is left with 1120 Rs. How much is his salary ?

50. A man spent 30% of an amount to buy grocery and10% of the remaining to transportation then he donated 90 Rs. If he is left with 1800. What is the amount spent on transport ?

41. In a class, number of girls is more than the number of boys by 20% of the total strength. What is the ratio of boys to girls ?
Sol:
Let total number of students = 100
& number of boys = x
∴ number of girls = x + 20% of 100
= x + 20
∴ x + x + 20 = 100
2x = 80
x = 40
∴ boys = 40
& girls = 60
∴ boys : girls = 40 : 60 = 2 : 3        Answer

42. The radius of sphere is 10 cm. Find out its surface area is how % of its volume?
Sol:
\(\frac{{surface\;area}}{{volume}} = \frac{{4\pi {r^2}}}{{\frac{4}{3}\pi {r^3}}} = \frac{3}{r} = \frac{3}{{10}}\)
∴ required % = \(\frac{3}{{10}} \times 100\)% = 30%        Answer

43. A fruit seller had some apples. He sells 40% apples and stills has 360 apples. Then how much apples originally he had ?
Sol:
He sells 40% apples. So he will have 60% apples remaining with him.
& given that 60% ⟶ 360
                    1%   ⟶ 6
& originally he has 100% apples which will be equal to 100 × 6 = 600 apples        Answer

44. A customer asks for the production of ‘a’ number of goods. The company produces ‘b’ number of goods daily, out of which c% units are for sale. Then in how many days order will be completed ?
Sol:
Units daily produced = b × c% = \(\frac{{bc}}{{100}}\)
total units required = a
units daily ready for sale = b × c%
∴ Number of days required to complete
= \(\frac{a}{{\left( {\frac{{bc}}{{100}}} \right)}}\)
= \( \boldsymbol{\frac{{100a}}{{bc}}} \)       Answer

45. The sujm of two numbers is 280. If the bigger number is decreased by 54% and the smaller number is increased by 15% then the number obtained are equal. Find the numbers.
Sol:
Let bigger number = x
& smaller number = y
x – x × 54% = y + y × 15%     (Given)
⟹ \(\frac{{46x}}{{100}} = \frac{{115y}}{{100}}\)

46. The expences on wheat, Rice and sugar of a familuy are in the ratio 15 : 18 : 7. The price of theser articles are increased by 20%, 30% and 40% respectively. Then find the total increased expense of the family.
Sol:

∴ % inrease = \(\frac{{30 + 54 + 28}}{{150 + 180 + 70}} \times 100\)
= \(\frac{{112}}{{400}} \times 100\)
= 28%         Answer

47. Due to an increase of 50% in the price of bananas, 4 bananas less are available for Rs. 24. What will be the present rate of per dozen bananas ?
Sol:

∴ original price = 2 Rs./banana
∴ Number of bananas bought for Rs. 24 = \(\frac{{24}}{2}\) = 12 = 1 dozen
& new price of per dozen banana = 3 × 12 = 36 Rs.       Answer

48. 90% of boys in a school passed in Hindi, 50% passed in english and 240 boys passed in both the subjects. If no student failed in both the subjects, then find the total number of boys.
Sol:
Total percentage of boys who passed in either Hindi or English = 90 + 50
= 140%
∴ total boys who passed in both the subjects = 140 – 100 = 40%
Given that,
40% ⟶ 240
∴ 1% ⟶ 60 
∴ total number of boys = 100% = 60 × 100 = 600          Answer

49. Ankit spents \( \boldsymbol{33\frac{1}{3}} \) of his salary on the item of daily use and 30% of the remainder on house rent. After that he is left with 1120 Rs. How much is his salary ?
Sol:

50. A man spent 30% of an amount to buy grocery and10% of the remaining to transportation then he donated 90 Rs. If he is left with 1800. What is the amount spent on transport ?
Sol:

∴ amount spent on transport
= 300 × 70% × 10%
= 3000 × \(3000 \times \frac{{70}}{{100}} \times \frac{{10}}{{100}}\)
= 210         Answer

✅ Well done on completing Set 5!

Continue practising with Percentage Questions 51 to 60 → Set 6 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.