Level 1
Percentages MCQs set 2 for AJK Police Sub Inspector (BS-14) Mathematics — 20 solved questions.
Q1. If Ali's salary is 10% more than Sajjad's, by what percent is Sajjad's salary less than Ali's?
Answer: 100/11 %
Explanation: If Ali's salary = 110 units and Sajjad's = 100, then Sajjad is less than Ali by 10/110 × 100 = 100/11 %.
Q2. What will be 80 Percent of a number whose 200 percent is 90?
Answer: 36
Explanation: The correct value is 36. Apply the formula or arithmetic step shown in the question and
Q3. In an examination, 38% of students fail in English and 61% pass in Urdu and 23% fail in both. Find the actual failure percentage?
Answer: 54%
Explanation: Students failing only in English = 38 − 23 = 15%; failing only in Urdu (i.e., pass English, fail Urdu) = 39 − 23 = 16%; total failure = 15 + 16 + 23 = 54%.
Q4. In a town 45% population read magazine A, 55% magazine B, 40% read Magazine C, 30% read magazines A and B, 15% read magazines B and C, 25% read magazines A and C and 10% read all the three magazines. What percentage do not read any magazine?
Answer: 20%
Explanation: Using inclusion-exclusion: P(A∪B∪C) = 45+55+40−30−15−25+10 = 80%. Those who read no magazine = 100−80 = 20%.
Q5. In an examination, 1100 boys and 900 girls appeared. 50% of the boys and 40% of the girls passed. What is the failure percentage for all students?
Answer: 54.50%
Explanation: Boys failed = 550, girls failed = 540; total failed = 1090 out of 2000; failure rate = 1090/2000 × 100 = 54.5%.
Q6. If the price of petrol is increased by 20%, by what percentage should the consumption be decreased by the consumer if the expenditure on petrol remains unchanged?
Answer: 16.67%
Explanation: If price rises by 20%, to keep expenditure constant consumption must fall by 20/120 = 1/6 ≈ 16.67%.
Q7. 3/20 is what percent of 12/25?
Answer: 31.25%
Explanation: Dividing 3/20 by 12/25 gives (3/20) × (25/12) = 75/240 = 5/16 = 31.25%.
Q8. Of the 1000 inhabitants of a town 60 % are males of whom 20 % are literate. If of all the inhabitants 25 % are literate. Then what percent of the females of the town are literate?
Answer: 32. 5 %
Explanation: Males = 600, literate males = 20% of 600 = 120; total literate = 25% of 1000 = 250; literate females = 250 − 120 = 130 out of 400 females = 32.5%.
Q9. A tradesman by means of his false balance, defrauds to the extent of 20% in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Answer: 44%
Explanation: The tradesman effectively buys 120 units while paying for 100, then sells 100 units as if they were 120. Net gain = (144−100)/100 = 44%.
Q10. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Answer: Rs. 250
Explanation: The correct value is Rs. 250. Apply the formula or arithmetic step shown in the question and
Q11. Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than that of the number X?
Answer: 10%
Explanation: X = 0.8Z and Y = 0.72Z; Y is less than X by (0.8 − 0.72)/0.8 × 100 = 0.08/0.8 × 100 = 10%.
Q12. 30% of a number is 8 more than 40% of 1000. Find number.
Answer: 1360
Explanation: 30% of N = 40% of 1,000 + 8 = 408; dividing both sides by 0.30 gives N = 1,360.
Q13. If Haider got 30% marks and failed by 15 marks, and Habib got 40% and scored 35 more than the pass marks. What is the percentage necessary for passing?
Answer: 33%
Explanation: Haider got 30% and failed by 15, Habib got 40% and scored 35 above pass. Difference 10% = 50 marks → total = 500. Pass marks = 150+15 = 165 = 33%.
Q14. What percentage of 1.6 is 0.96?
Answer: 60%
Explanation: 0.96/1.6 × 100 = 60%; equivalently, 0.96 is 60% of 1.6. Show the calculation clearly when solving similar quantitative items.
Q15. Two numbers are 20% and 50% more than a third number, respectively. What percentage is the first number of the second?
Answer: 80%
Explanation: The correct value is 80%. Apply the formula or arithmetic step shown in the question and
Q16. A typist uses a paper 30 cm by 15 cm. He leaves a margin of 2.5 cm at the top as well as at the bottom and 1.25 cm on either side. What percentage of paper area is approximately available for typing?
Answer: 70%
Explanation: Typing area = (30−5)×(15−2.5) = 25×12.5 = 312.5 cm²; total = 450 cm². Percentage = 312.5/450 ≈ 69.4% ≈ 70%.
Q17. The price of a certain item is increased by 15 %. If a consumer wants to keep his expenditure on the item same as before how much percent must he reduce his consumption of that item?
Answer: 13.04%
Explanation: To maintain the same expenditure after a 15% price rise, consumption must fall by 15/115 × 100 ≈ 13.04%.
Q18. In a class, 1/5 of the students learn Spanish, one-fourth learn Italian, and the remaining students learn French. What percentage of the class learns French?
Answer: 55%
Explanation: The correct value is 55%. Apply the formula or arithmetic step shown in the question and
Q19. In a given academy, 720 of the 960 new students will study arithmetic during their first year. What percentage of the new students will study arithmetic during their first year?
Answer: 75%
Explanation: 720 out of 960 students study arithmetic; 720/960 × 100 = 75%.
Q20. 80 is what percent of 64?
Answer: 125%
Explanation: Percentage = (80/64) × 100 = 125%. 125% is correct because it matches what the question requires. Show the calculation clearly when solving similar quantitative items.