This set contains Percentage Questions with Solutions — Set 12 (Q111 to Q120) 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 111 to 120 with Solutions
111. A sells his goods 30% cheaper than B and 30% dearer than C. By what % is the cost of C’s good cheaper than B’s goods.
112. Due to a 20% increase in the price of sugar, a person is able to purchase 30 kg less of sugar for rupees 540. Find the initial price.
113. A’s salary is 10% lower than B’s salary which is 20% lower than C’s salary. By how much percent is C’s salary more than A’s salary ?
114. A sells his goods 25% cheaper than B and 25% dearer than C. How much % is C’s goods cheaper than B’s ?
115. A has a certain amount with him. Of this he loses 32.5% in gambling. From the balance someone stole the sum of rupees 100000 that he used to keep in his pocket. Of the rest he donated 20% to a charity. Further he purchases a car for Rs. 7.5 lakh. What was the initial amount he has with him if he is left with 2.5 lakh cash.
116. In an election, the candidate who got 60% of the votes cast won by 240 votes. Find the total number of voters in the voting list if 80% people cast their votes and there were no invalid votes.
117. The population of a village is 1000. The rate of increase is 10% per annum. Find the population at the start of third year and at the end of third year.
118. The height of a triangle is increased by 20%. What can be the maximum percentage increase in the length of the base so that the increase in Area is restricted to a maximum of 50% ?
119. The population of a village is 7700. If the number of male increases by 11% and the number of female increases by 20% then the population becomes 8862. Then find the population of females in the town.
120. A’s salary is 75% more than B’s salary. A got a raise of 40% on his salary while B got a raise of 25% on his salary. By what % A’s salary more than B’s salary.
Solutions — Percentage Questions 111 to 120
111. A sells his goods 30% cheaper than B and 30% dearer than C. By what % is the cost of C’s good cheaper than B’s goods.
Sol:
∴ required % = \(\frac{{1300 – 700}}{{1300}} \times 100\)
= \(\frac{{600}}{{13}}\)
= 46.15% Answer
112. Due to a 20% increase in the price of sugar, a person is able to purchase 30 kg less of sugar for rupees 540. Find the initial price.
Sol:-
∴ original consumption = 6×30 = 180
& new consumption = 5×30 = 150
∴ original price of sugar = \(\frac{{540}}{{180}}\) = 3 Rs/kg Answer
113. A’s salary is 10% lower than B’s salary which is 20% lower than C’s salary. By how much percent is C’s salary more than A’s salary ?
Sol:-
∴ required % = \(\frac{{25 – 18}}{{18}} \times 100\) = \( \boldsymbol{38\frac{8}{9}\% \uparrow} \) Answer
114. A sells his goods 25% cheaper than B and 25% dearer than C. How much % is C’s goods cheaper than B’s ?
Sol:-
∴ required % = \(\frac{{20 – 12}}{{20}} \times 100\) = 40% Answer
115. A has a certain amount with him. Of this he loses 32.5% in gambling. From the balance someone stole the sum of rupees 100000 that he used to keep in his pocket. Of the rest he donated 20% to a charity. Further he purchases a car for Rs. 7.5 lakh. What was the initial amount he has with him if he is left with 2.5 lakh cash.
Sol:-
\(\left( {x \times \frac{{\left( {100 – 32.5} \right)}}{{100}} – 100000} \right)\left( {\frac{{100 – 20}}{{100}}} \right) – 7.5lakh = 2.5lakh\)
\(\left( {x \times \frac{{67.5}}{{100}} – 100000} \right) \times \frac{4}{5} = 1000000\)
\(x \times \frac{{675}}{{1000}} – 100000 = 1250000\)
⟹ x = 20 lakh Answer
116. In an election, the candidate who got 60% of the votes cast won by 240 votes. Find the total number of voters in the voting list if 80% people cast their votes and there were no invalid votes.
Sol:-
∴ total votes casted = 100 × 12 = 1200
now 80% ⟶ 1200
100% ⟶ \(\frac{{100}}{{80}} \times 1200\) = 1500 Answer
117. The population of a village is 1000. The rate of increase is 10% per annum. Find the population at the start of third year and at the end of third year.
Sol:-
∴ population at the start of third year = \(\frac{{1000}}{{10 \times 10}} \times 11 \times 11\) = 1210 Answer
& population at the end of third year = \(\frac{{1000}}{{10 \times 10 \times 10}} \times 11 \times 11 \times 11\) = 1331 Answer
118. The height of a triangle is increased by 20%. What can be the maximum percentage increase in the length of the base so that the increase in Area is restricted to a maximum of 50% ?
Sol:-
Method(1):
50 = 20 + x + \(\frac{{20x}}{{100}}\)
30 = \(\frac{{120x}}{{100}}\)
x = +25% ↑ Answer
119. The population of a village is 7700. If the number of male increases by 11% and the number of female increases by 20% then the population becomes 8862. Then find the population of females in the town.
Sol:-
% ↑ in population = \(\frac{{8862 – 7700}}{{7700}} \times 100 = \frac{{1162}}{{77}}\) = \(\frac{{166}}{{11}}\% \)
120. A’s salary is 75% more than B’s salary. A got a raise of 40% on his salary while B got a raise of 25% on his salary. By what % A’s salary more than B’s salary.
Sol:-
∴ required % = \(\frac{{480}}{{500}} \times 100\) = 96% Answer
✅ Well done on completing Set 12!
Continue practising with Percentage Questions 121 to 130 → Set 13 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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