Practice Percentages MCQs for HEC USAT-M (Pre-Medical) quantitative reasoning — topic-wise sets with solved answers.
Q1. The length and breadth of a rectangle are increased by 30% and 20% respectively from the side length of an original square. By what percent does the area of the new rectangle exceed the area of the square?
Answer: 56%
Explanation: New area = 1.30 × 1.20 = 1.56 times the original square's area, so the increase is 56%.
Q2. A school has four classes. They have 10, 20, 30 and 40 students respectively. Students' pass percentage is 20%, 30%, 60% and 100%. What is the pass percentage of the entire school?
Answer: 66%
Explanation: The correct value is 66%. Apply the formula or arithmetic step shown in the question and
Q3. When 20% of itself is added to a number, it gives 102. Find the number.
Answer: 85
Explanation: x + 0.20x = 102 → 1.20x = 102 → x = 85.
Q4. If the side of a square is increased by 25 % then how much percent does it's area get increased:
Answer: 56.25%
Explanation: New side = 1.25s; new area = 1.5625s²; percentage increase = 56.25%.
Q5. 40% of Raees's marks is equal to 20% of Rahim's marks, and this is also equal to 30% of Rehman's marks. If Rehman's marks are 80, find the average marks of Raees and Rahim.
Answer: 90
Explanation: 30% of Rehman (80) = 24; Raees = 24/0.40 = 60; Rahim = 24/0.20 = 120; average = (60+120)/2 = 90.
Q6. Express 0.286 as a percentage.
Answer: 28.60%
Explanation: The correct value is 28.60%. Apply the formula or arithmetic step shown in the question and
Q7. Ramees buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
Answer: Rs. 6876.10
Explanation: After 6% rebate: 6650 × 0.94 = Rs.6,251; after 10% sales tax: 6251 × 1.10 = Rs.6,876.10.
Q8. The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y's salary is less than Mr. X's?
Answer: 23.07%
Explanation: X is 30% more than Y, so X = 1.3Y; the percentage by which X exceeds Y relative to X is (0.3Y/1.3Y)×100 = 23.07%.
Q9. After decreasing by 24%, the price of an article costs Rs. 912. Find the actual cost of an article.
Answer: Rs. 1200
Explanation: After a 24% decrease, 76% of the original price = 912; original = 912 ÷ 0.76 = Rs. 1200.
Q10. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
Answer: 50% increase
Explanation: New area = (L/2) × 3B = (3/2)LB, which is 50% more than the original area LB.
Q11. If 40% of M equals 20% of A, what percent of A is M?
Answer: 50%
Explanation: 0.40M = 0.20A → M = A/2 = 50% of A. Show the calculation clearly when solving similar quantitative items.
Q12. If A got 80 marks and B got 60 marks, then what percent of A's mark is B's mark?
Answer: 75%
Explanation: B's marks as a percentage of A's = (60/80)×100 = 75%. Show the calculation clearly when solving similar quantitative items.
Q13. If a class has 56 boys and the total class strength is 140, what is the percentage of boys?
Answer: 40%
Explanation: The correct value is 40%. Apply the formula or arithmetic step shown in the question and
Q14. The income of A is 25% less than B. How much percent would B's income be more than that of A?
Answer: 33%
Explanation: A = 0.75B; B exceeds A by (0.25B/0.75B)×100 = 33.33%. Show the calculation clearly when solving similar quantitative items.
Q15. The total distance from school to the house is 39 km. Abid covered a distance of 13 km. What percentage of the whole distance has he covered?
Answer: 33.33%
Explanation: The correct value is 33.33%. Apply the formula or arithmetic step shown in the question and
Q16. The price of cooking oil has increased by 25 %. The percentage of reduction that a farming should effect in the use of cooking oil so as not to increase the expenditure on this account is________?
Answer: 20%
Explanation: To maintain same expenditure after a 25% price rise, consumption must be reduced by 25/125×100 = 20%.
Q17. 9000 + 16 2/3 % of ? = 10500
Answer: 9000
Explanation: 16⅔% = 1/6; (1/6)×? = 10500−9000 = 1500 → ? = 9000.
Q18. The annual income of A is 10% less than that of B whose income is 20% more than that of
Answer: Rs0.79
Explanation: The correct value is Rs0.79. Apply the formula or arithmetic step shown in the question and
Q19. In a class of 140 students, 60% of them passed. By what percentage is the number of students who passed more than the number of failed students?
Answer: 50%
Explanation: Passed = 84, failed = 56; the percentage by which passed exceeds failed is (84 − 56) / 56 × 100 = 50%.
Q20. A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
Answer: 10%
Explanation: The interest earned in year 3 = 2662 − 2420 = 242; rate = 242/2420 × 100 = 10% p.a.
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