This set contains Percentage Questions with Solutions — Set 17 (Q161 to Q170) 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 161 to 170 with Solutions
161. A shopkeeper announces a discount scheme as follows: For every purchase of Rs. 3000 to 6000, the customer gets a 15% discount on a further purchase of goods costing more than Rs. 6000. The customer, however, would have the option of reselling his right to shopkeeper at 4% of his initial purchase value(as per the right refers to the 7% discount ticket). In an enthusiastic response to the scheme, 10 people purchase goods worth Rs. 4000 each. Find the maximum, possible revenue for the shopkeeper.
162. In a youth fete the tickets were sold in following scheme:
Ticket bought in one lot 6, 12, 18 percentage discount 10%, 20%, 25%. Original price was Rs. 40 per ticket. This oftern could have been availed only when ticket were bought in a fixed lot according to the scheme and any additional ticket was available at its original price.
(i) If a student has to buy 25 tickets, then what will be the minimum price per ticket?
(ii) In the above question what will be the approximate possible maximum price per ticket(if discount have been availed for 24 tickets)?
(iii) On the last day of the fete, with the objective of maximising participation, the number of tickets sold in a lot was halved with the same discount offer. Mr. A is in a fix regarding the number of tickets he can purchase with this money will be how man many?
163. In a test there are total n questions. Amit answers 15 out of 20 questions correctly in the first section. In the second section he answers 60% questions correctly and thus his total score is 66.66% in the test. Given that all questions carry equal marks, without any negative marking. Then find the total number of questions in the test.
164. In a company there are 60% female employees. 50% of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1800 employees, then find the number of female employees who are computer literate.
165. A’s salary is half that of B. If A got 50% rise in his salary & B got a 25% rise in his salary, then the percentage increase in the combined salaries of both will be how much.
166. Three candidates A, B and C contested an election out of the total votes on a voter list 25% did not vote and 6.66% votes polled were invalid. C got 2450 valid votes, which were 40% more then that of B. If A got only 40% of the total valid votes, then who is the winner?
167. The average earning of each member of the Ambani family is 25% less than the average earning of each member of the Tata family and the total earning of Ambani’s family is 25% more than the total earning of the Tata family. Find the ratio of number of family members in Ambani family to that of Tata family.
168. 40% of a number when added to the square of the same number then it is increased to 40% of itself. Then find the actual number.
169. Ankit’s salary is 15650 Rs. per month. The salary of his brother is 10% greater than that of his salary. The salary of his sister is 9.09% greater than his brother. The salary of his wife is \(56\frac{{12}}{3}\% \) less than the total salary of his brother and sister together. Then find the relation between his wife’s salary & his own salary.
170. Price of sugar increased by 25% and the customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product.
Solutions — Percentage Questions 161 to 170
161. A shopkeeper announces a discount scheme as follows: For every purchase of Rs. 3000 to 6000, the customer gets a 15% discount on a further purchase of goods costing more than Rs. 6000. The customer, however, would have the option of reselling his right to shopkeeper at 4% of his initial purchase value(as per the right refers to the 7% discount ticket). In an enthusiastic response to the scheme, 10 people purchase goods worth Rs. 4000 each. Find the maximum, possible revenue for the shopkeeper.
Solution:-
Since neither of the customer has purchased of more than Rs. 6000 so only two options will be there for the customer:-
option(i):-
Discount of 15%
total amount = 40000 × 10 = 40000
Amount discounted = – 6000
————
Revenue for shopkeeper = 34000
option(ii):-
Reselling of his ticket at 4%
total amount = 4000 × 10 = 40000
amount discounted = – 1600
————
Revenue for shopkeeper = 38400
Hence maximum revenue generated for the shopkeeper is 38400 Rs. Answer
162. In a youth fete the tickets were sold in following scheme:
Ticket bought in one lot 6, 12, 18 percentage discount 10%, 20%, 25%. Original price was Rs. 40 per ticket. This oftern could have been availed only when ticket were bought in a fixed lot according to the scheme and any additional ticket was available at its original price.
(i) If a student has to buy 25 tickets, then what will be the minimum price per ticket?
(ii) In the above question what will be the approximate possible maximum price per ticket(if discount have been availed for 24 tickets)?
(iii) On the last day of the fete, with the objective of maximising participation, the number of tickets sold in a lot was halved with the same discount offer. Mr. A is in a fix regarding the number of tickets he can purchase with this money will be how man many?
Solution:-
(i) if a student wants to buy 25 tickets with minimum price per ticket then he can buy one lot of 18 tickets and one lot of 6 tickets and remaining 1 ticket will be bought at original price without any discount.
So price of 25 tickets = 18 × 40 × \(\frac{{75}}{{100}}\) + 6 × 40 × \(\frac{{90}}{{100}}\) + 1 × 40 = 796
∴ price of one ticket = \(\frac{{796}}{{25}}\) = 31.84 Rs. Answer
(ii) For maximum price per ticket he can buy 4 lot of 6 ticket & remaining 1 ticket without any discount
∴ price of 25 ticket = 4 × 6 × 40 × \(\frac{{90}}{{100}}\) + 1 × 40
= 904
∴ price of one ticket = \(\frac{{904}}{{25}}\) = 36.16 Rs. Answer
(iii) New chart for discount on tickets
price of one lot of 9 tickets = 1 × 9 × 40 × \(\frac{{75}}{{100}}\)
= 270
price of one lot of 6 tickets = 1 × 6 × 40 × (\frac{{80}}{{100}}\)
= 192
Now total price of 15 tickets = 270 + 192 = 462
Now he can buy only one new ticket = 40 Rs.
total amount = 462 + 40 = 502 Rs.
Now there is no other way to buy the tickets.
So he can buy maximum number of 16 tickets for 532 Rs. Answer
163. In a test there are total n questions. Amit answers 15 out of 20 questions correctly in the first section. In the second section he answers 60% questions correctly and thus his total score is 66.66% in the test. Given that all questions carry equal marks, without any negative marking. Then find the total number of questions in the test.
Solution:
In 1ˢᵗ section Amit scores = \(\frac{{15}}{{20}} \times 100\) = 75%
∴ total number of questions in test = 125 + 100 = 225 Answer
164. In a company there are 60% female employees. 50% of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1800 employees, then find the number of female employees who are computer literate.
Solution:
total computer literate = 62%
& male computer literate = 20%
∴ female computer literate = 62 – 20 = 42%
Hence number of female literate = \(\frac{{42}}{{100}} \times 1800\) = 756 Answer
165. A’s salary is half that of B. If A got 50% rise in his salary & B got a 25% rise in his salary, then the percentage increase in the combined salaries of both will be how much.
Solution:-
∴ required % increase = \(\frac{{8 – 6}}{6} \times 100\) = 33.33% Answer
166. Three candidates A, B and C contested an election out of the total votes on a voter list 25% did not vote and 6.66% votes polled were invalid. C got 2450 valid votes, which were 40% more then that of B. If A got only 40% of the total valid votes, then who is the winner?
Solution:
B + C = 60%
B + \(B(1 + \frac{{40}}{{100}})\) = 60
\(B \times \frac{{12}}{5}\) = 60
B = 25%
∴ C = 35% ⟶ 2450 (Given)
1% ⟶ 70
∴ A’s vote = 40% = 2800
B’s vote = 25% = 1750
C’s vote = 35% = 2450
Hence A is the winner Answer
167. The average earning of each member of the Ambani family is 25% less than the average earning of each member of the Tata family and the total earning of Ambani’s family is 25% more than the total earning of the Tata family. Find the ratio of number of family members in Ambani family to that of Tata family.
Solution:
168. 40% of a number when added to the square of the same number then it is increased to 40% of itself. Then find the actual number.
Solution:
40% = \(\frac{2}{5}\)
Let number = 5x
∴ 25x² + 2x = \(\frac{{202}}{5}\) × 5x ⟹ x = 8
∴ original number = 5 × 8 = 40 Answer
169. Ankit’s salary is 15650 Rs. per month. The salary of his brother is 10% greater than that of his salary. The salary of his sister is 9.09% greater than his brother. The salary of his wife is \(\boldsymbol{56\frac{{12}}{3}\%} \) less than the total salary of his brother and sister together. Then find the relation between his wife’s salary & his own salary.
Solution:
Salary of wife = 23 – \(\frac{{13}}{{23}} \times 23\) \(\left( {\;{\mathop{\rm Sin}\nolimits} ce\;\;56\frac{{12}}{{13}}\%\; =\; \frac{{13}}{{23}}} \right)\)
= 10
Hence salary of the wife is equal to his salary Answer
170. Price of sugar increased by 25% and the customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product.
Solution:
∴ required % = \(\frac{{35 – 40}}{{40}} \times 100\)
= – 12.5% i.e. 12.5% less Answer
✅ Well done on completing Set 17!
Continue practising with Percentage Questions 171 to 180 → Set 18 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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