Check out Aptitude Percentage Practice Questions with Answers for Banks, SSC, Railway and All other competitive exams.All Multiple Choice Questions (MCQ’s) are picked from previous year papers and various text books.
Q16. The price of an article increases by 15% in the first year, 20% in the second year, and decreases by 10% in the third year. What is the overall percentage change in the price?
Correct Answer:
20% increase
Explanation: Let the original price be ₹100.
After 15% increase: New price = ₹100 + 15% of ₹100 = ₹115.
After 20% increase: New price = ₹115 + 20% of ₹115 = ₹115 + ₹23 = ₹138.
After 10% decrease: New price = ₹138 - 10% of ₹138 = ₹138 - ₹13.8 = ₹124.2.
The overall change = ₹124.2 - ₹100 = ₹24.2.
Percentage increase = (₹24.2 / ₹100) × 100 = 24.2%.
Q17. A trader mixes two varieties of tea costing ₹40 per kg and ₹60 per kg. He sells the mixture at ₹55 per kg and makes a profit of 25%. What is the ratio in which the two varieties are mixed?
Correct Answer:
1:2
Explanation: Let the amounts of tea be x kg and y kg.
Cost price of the mixture = (40x + 60y) / (x + y).
Selling price of the mixture = ₹55.
Profit = 25% implies,
Cost Price × 1.25 = 55.Therefore, the cost price = ₹55 / 1.25 = ₹44.
Now, using the equation,
$$ \frac{40x + 60y}{x + y} = 44 $$
Solving this, we get the ratio 𝑥 : 𝑦 = 2 : 1.
Q18. The price of a product is increased by 20%. Later, the price is reduced by 10%. What is the overall percentage change in price?
Correct Answer:
5% increase
Explanation: Let the original price be ₹100.
After a 20% increase: New price = ₹100 + 20% of ₹100 = ₹120.
After a 10% decrease: New price = ₹120 - 10% of ₹120 = ₹120 - ₹12 = ₹108.
The overall change = ₹108 - ₹100 = ₹8.
Percentage increase = (₹8 / ₹100) × 100 = 8%.
Q19. A man buys a set of 15 books at ₹200 each. He sells them at ₹240 each. What is the percentage profit he makes on the cost price?
Q23. A man divides ₹45,000 among his three children such that the first gets 50%, the second gets 30%, and the third gets the remaining. What is the amount received by the third child?
Correct Answer:
₹9,000
Explanation: Amount received by 1st child = 50% of ₹45,000 = ₹22,500.
Amount received by 2nd child = 30% of ₹45,000 = ₹13,500.
Amount received by 3rd child = ₹45,000 - (₹22,500 + ₹13,500) = ₹9,000.
Q24. A product originally costs ₹12,000. Its price is increased by 15%, and then it is reduced by 10%. What is the final price of the product?
Correct Answer:
₹12,420
Explanation: After a 15% increase: ₹12,000 + 15% of ₹12,000 = ₹12,000 + ₹1,800 = ₹13,800.
After a 10% decrease: ₹13,800 - 10% of ₹13,800 = ₹13,800 - ₹1,380 = ₹12,420.
Q25. A bank offers 8% compound interest per annum. If a person invests ₹10,000 for 2 years, what is the total interest earned?
Q26. A company reduces the price of a product by 20%. To maintain the same revenue, by what percentage must sales increase?
Correct Answer:
25%
Explanation: Let the original price be ₹100, and sales = 100 units. Revenue = ₹100 × 100 = ₹10,000.
New price = ₹100 - 20% of ₹100 = ₹80.
To maintain revenue of ₹10,000, new sales = ₹10,000 ÷ ₹80 = 125 units.
Increase in sales = 125 - 100 = 25 units. Percentage increase = (25 / 100) × 100 = 25%.
Q27. A trader sells two items at ₹1,000 each. He incurs a 20% loss on the first and a 20% profit on the second. What is his overall percentage profit or loss?
Q28. A manufacturer marks up the price of an item by 40% and then offers a 25% discount on the marked price. What is the effective percentage gain or loss if the cost price is ₹1,000?
Q29. A man’s monthly income is ₹80,000. He spends 60% on household expenses and 20% on rent. If his income increases by 25% but his expenditures remain in the same proportions, what is his new savings amount?
Correct Answer:
₹28,000
Explanation: Original income = ₹80,000. Savings = 100% - (60% + 20%) = 20%.
Original savings = 20% of ₹80,000 = ₹16,000.
New income = ₹80,000 + 25% of ₹80,000 = ₹80,000 + ₹20,000 = ₹1,00,000.
New savings = 20% of ₹1,00,000 = ₹28,000.
Q30. A person spends 70% of his income. If his income increases by 20% and savings remain unchanged, what is the percentage increase in expenditure?
Correct Answer:
25%
Explanation: Let income = ₹100. Expenditure = 70% of ₹100 = ₹70. Savings = ₹30.
New income = ₹100 + 20% of ₹100 = ₹120. New expenditure = ₹120 - ₹30 = ₹90.
Increase in expenditure = ₹90 - ₹70 = ₹20. Percentage increase = (₹20 / ₹70) × 100 = 25%.
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