This set contains Percentage Questions with Solutions — Set 6 (Q51 to Q60) 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 51 to 60 with Solutions
51. If a man’s salary is 25% more than that of Naman, then how much percent is Naman’s salary less than that of
Aman ?
52. The price of rice rises by 20%. By how much percent should the consumption of rice be reduced so that the expenditure does not change.
53. If the duty of an article is reduced by 60% of its present rate, By how much percent must its consumption increase in order that the revenue remain unaltered ?
54. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 40. Find the original number.
55. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 40. Find the original number.
56. If the price of an article is first decreased by 20% and then increased by 25%. Then find the net percentage change.
57. If the price of an article is first increased by 20% and again increased by 10%. If the last increased price Rs. 198 then what was the original price.
58. If the length, breadth and height of a cube are decreased, increased, increased by 5%, 10% and 20% respectively. Then what will be the impact on the volume of cube.
59. While measuring the length of a rectangle it has been taken in 40% excess and its breadth was measured 40% less. Find the percentage change in its area.
60. Ram saves 15% of his salary while Shyam saves 32%. If both get the same salary and Shyam saves 2240 Rs. then what is the saving of Ram ?
Solutions — Percentage Questions 51 to 60
51. If a man’s salary is 25% more than that of Naman, then how much percent is Naman’s salary less than that of
Aman ?
Sol:
∴ required % = \(\frac{{4 – 5}}{5} \times 100 = – 20\% \)
Hence Naman’s salary is 20% less than that of Aman. Answer
52. The price of rice rises by 20%. By how much percent should the consumption of rice be reduced so that the expenditure does not change.
Sol:
∴ required change in consumption = \(\frac{{5 – 6}}{6} \times 100\)
= –\( \boldsymbol{16\frac{2}{3}} \)%
i.e. consumption should be reduced by \( \boldsymbol{16\frac{2}{3}} \)% Answer
53. If the duty of an article is reduced by 60% of its present rate, By how much percent must its consumption increase in order that the revenue remain unaltered ?
Sol:
∴ required percent = \(\frac{{5 – 2}}{2} \times 100\) = 150% Answer
54. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 40. Find the original number.
Sol:
Method(i):
net % change = 20 – 20 – \(\frac{{20 \times 20}}{{100}}\)
= -4% (i.e. 4% decrease) Answer
55. A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 40. Find the original number.
Sol:
56. If the price of an article is first decreased by 20% and then increased by 25%. Then find the net percentage change.
Sol:
57. If the price of an article is first increased by 20% and again increased by 10%. If the last increased price Rs. 198 then what was the original price.
Sol:
58. If the length, breadth and height of a cube are decreased, increased, increased by 5%, 10% and 20% respectively. Then what will be the impact on the volume of cube.
Sol:
59. While measuring the length of a rectangle it has been taken in 40% excess and its breadth was measured 40% less. Find the percentage change in its area.
Sol:
60. Ram saves 15% of his salary while Shyam saves 32%. If both get the same salary and Shyam saves 2240 Rs. then what is the saving of Ram ?
Sol:
Shyam’s saving 32% ⟶ 2240
1% ⟶ 70
∴ Shyam’s salary 100% ⟶ 100 × 70 = 7000
which is equal to Ram’s salary (Given)
∴ Ram’s salary = 7000
∴ Ram’s saving = 7000 × 15% = 1050 Answer
✅ Well done on completing Set 6!
Continue practising with Percentage Questions 61 to 70 → Set 67 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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