This set contains Percentage Questions with Solutions — Set 8 (Q71 to Q80) 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 71 to 80 with Solutions
71. A student multiplied a number by \(\frac{2}{5}\) instead of \(\frac{5}{2}\). What is the % error in calculation ?
72. In an examination a student got 25% marks and failed by 5 marks. While another student got 28% marks and got 7 marks more than pass marks. Then find the maximum marks in the examination ?
73. In an examination the first student got 25% marks and failed by 18 marks. While in the same exam the second student got 27% marks and failed by 12 marks. Then find the maximum marks and minimum pass marks in the examination.
74. The marks of Ankit in physics are 60% of the marks in chemistry and marks in chemistry are 60% of the marks in biology. How many marks he got in physics. If marks in these three subjects are 196 in all.
75. In an examination a student got 25% marks and failed by 5 marks while another student got 28% marks and got 7 marks more than pass marks. Then find the minimum marks % required to pass in the exam.
76. A student has to secure 30% marks to pass the exam. If he gets 70 marks and fails by 50 marks. Then find the maximum marks set for the examination.
77. A company gives 10% commission to his salesman on total sales and 1% bonus on the sales over Rs. 20000. If the salesman deposite Rs. 44700 after deducting his earning from total sales. Then find total sales.
78. If the annual increase in the population of a town is \(14\frac{2}{7}\)% and the present number of population is 2401. What will the population be in 4 years ?
79. The population of a village is 14000. If the males and females are increased by 5% and 12% respectively then population will become 14770. Find the number of females at present.
80. The population of town is 10000. It increases by 10% during the first year. During the second year it decreases by 20% and increased by 30% during the third year. What will the population be after 3 years ?
Solutions — Percentage Questions 71 to 80
71. A student multiplied a number by \( \boldsymbol{\frac{2}{5}} \) instead of \( \boldsymbol{\frac{5}{2}} \). What is the % error in calculation ?
Sol:
In such type of question let a number which is exactly divisible by denominator of both the fractions.
72. In an examination a student got 25% marks and failed by 5 marks. While another student got 28% marks and got 7 marks more than pass marks. Then find the maximum marks in the examination ?
Sol:
73. In an examination the first student got 25% marks and failed by 18 marks. While in the same exam the second student got 27% marks and failed by 12 marks. Then find the maximum marks and minimum pass marks in the examination.
Sol:
∴ max marks = 100% = 100 × 3 = 300 Answer
& min pass marks = 25% + 18
= 25 × 3 + 18
= 93 Answer
74. The marks of Ankit in physics are 60% of the marks in chemistry and marks in chemistry are 60% of the marks in biology. How many marks he got in physics. If marks in these three subjects are 196 in all.
Sol:
∴ 9x + 15x + 25x = 196
x = 4
∴ marks in physics = 9 × 4 = 36 Answer
75. In an examination a student got 25% marks and failed by 5 marks while another student got 28% marks and got 7 marks more than pass marks. Then find the minimum marks % required to pass in the exam.
Sol:
∴ minumum marks % required to pass in the exam
= 25% + \(\frac{5}{4}\)%
= 31.25% Answer
76. A student has to secure 30% marks to pass the exam. If he gets 70 marks and fails by 50 marks. Then find the maximum marks set for the examination.
Sol:
30% ⟶ (70 + 50) ⟹ 1% ⟶ 4
∴ max marks = 100% = 100 × 4 = 400
Answer
77. A company gives 10% commission to his salesman on total sales and 1% bonus on the sales over Rs. 20000. If the salesman deposite Rs. 44700 after deducting his earning from total sales. Then find total sales.
Sol:
Let total sales = x
∴ earning = x × 10% + (x – 20000) × 1%
= \(\frac{x}{{10}} + \frac{x}{{10}} – 200\)
= \(\frac{{11x}}{{100}} – 200\)
then as per question,
x – \(\left( {\frac{{11x}}{{100}} – 200} \right)\) = 44700
\(\frac{{89x}}{{100}}\) = 44500
x = 50000 Answer
78. If the annual increase in the population of a town is \( \boldsymbol{14\frac{2}{7}} \)% and the present number of population is 2401. What will the population be in 4 years ?
Sol:
So after 4 years the population will be 4096 Answer
79. The population of a village is 14000. If the males and females are increased by 5% and 12% respectively then population will become 14770. Find the number of females at present.
Sol:
Increased population = 14770 – 14000 = 770
increased % = \(\frac{{770}}{{14000}} \times 100 = \frac{{77}}{{14}} = \frac{{11}}{2} = 5\frac{1}{2}\% \)
80. The population of town is 10000. It increases by 10% during the first year. During the second year it decreases by 20% and increased by 30% during the third year. What will the population be after 3 years ?
Sol:
✅ Well done on completing Set 8!
Continue practising with Percentage Questions 81 to 90 → Set 9 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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