Level 1
Percentages MCQs set 3 for AJK Police Sub Inspector (BS-14) Mathematics — 20 solved questions.
Q1. The price of a share in the stock exchange dropped from Rs. 62.50 to Rs. 52.50 in a week. What was the percentage decrease in the price?
Answer: 16%
Explanation: Decrease = Rs. 10 on original Rs. 62.50; percentage = (10/62.50)×100 = 16%.
Q2. If the percentage of red pencils in a set of 48 dozen of pencils is 25 then the number of pencils of other colors is:
Answer: 36 dozen
Explanation: Total pencils = 48 × 12 = 576; red pencils = 25% of 576 = 144; other colors = 576 − 144 = 432 = 36 dozen.
Q3. A school has four classes with 10, 20, 30, and 40 students respectively. The pass percentages of these classes are 20%, 30%, 60%, and 100% respectively. 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
Q4. If Kayla left a 10.47 tip on a breakfast that cost 87.25, what percentage was the tip?
Answer: 12%
Explanation: Tip percentage = (10.47/87.25)×100 ≈ 12%. 12% is correct because it matches what the question requires. Show the calculation clearly when solving similar quantitative items.
Q5. In a shop of shoes 10 pairs are of size 6 and 30 are of size 8. If all the shoes in the shop are size 6 and 8, what percent of the shoes in the shop are of size 6?
Answer: 25%
Explanation: Total shoes = 10 pairs + 30 pairs = 40 pairs = 80 shoes. Size 6 shoes = 20. Percentage = 20/80 × 100 = 25%.
Q6. Two numbers are less than q third number by 30 % and 37 % respectively. How much percent is the second number less than the first?
Answer: 10%
Explanation: First number = 0.70Q, second = 0.63Q; second is less than first by (0.07/0.70) × 100 = 10%.
Q7. A period of 4 hrs 30 min is what percent of a day?
Answer: 18.75%
Explanation: 4.5 hours out of 24 hours = (4.5/24)×100 = 18.75%. Show the calculation clearly when solving similar quantitative items.
Q8. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Answer: 57%
Explanation: Total votes = 1136+7636+11628 = 20400. Winner's percentage = 11628/20400 × 100 ≈ 57%.
Q9. In a sample of soil of 2000 gms, 1000 decigrams are of Sulphur. What is the percentage of Sulphur?
Answer: 5%
Explanation: 1,000 decigrams = 100 grams; percentage of sulphur = 100/2,000 × 100 = 5%.
Q10. What percent of 120 are 90?
Answer: 75%
Explanation: (90 ÷ 120) × 100 = 75%. 75% is correct because it matches what the question requires. Show the calculation clearly when solving similar quantitative items.
Q11. Two numbers are 60% and 20% more than a third number, respectively. What percentage is the second number of the first?
Answer: 75%
Explanation: The correct value is 75%. Apply the formula or arithmetic step shown in the question and
Q12. If a person left a $10.47 tip on a breakfast that cost $87.25, what percentage was the tip?
Answer: 12%
Explanation: Tip percentage = 10.47/87.25 × 100 ≈ 12%. Show the calculation clearly when solving similar quantitative items.
Q13. A student obtains 75%, 80%, and 85% in three subjects. If the marks of a fourth subject are added, their average score cannot be less than 80%. What is the minimum percentage required in the fourth subject?
Answer: 80%
Explanation: The correct value is 80%. Apply the formula or arithmetic step shown in the question and
Q14. P is six times as large as q. The percent that q is less than p is:________?
Answer: 83.33%
Explanation: p = 6q; q is less than p by (p − q)/p × 100 = (6q − q)/(6q) × 100 = 5/6 × 100 ≈ 83.33%.
Q15. If P is 6 times as large as Q, by what percent is Q smaller than P?
Answer: 83.33%
Explanation: The correct value is 83.33%. Apply the formula or arithmetic step shown in the question and
Q16. What is 3.4 percent of 1,000?
Answer: 34
Explanation: 3.4% of 1000 = (3.4/100)×1000 = 34. 34 is correct because it matches what the question requires. Show the calculation clearly when solving similar quantitative items.
Q17. What percentage is 12 of 36?
Answer: 33.33%
Explanation: 12 ÷ 36 × 100 = 1/3 × 100 = 33.33%. Show the calculation clearly when solving similar quantitative items.
Q18. The price of petrol has increased by 25%. By how much percent a car owner should reduce his consumption of petrol? So that expenditure on petrol would not be increased?
Answer: 20%
Explanation: If price increases by 25%, to keep expenditure constant the consumption must decrease by 25/125 = 1/5 = 20%.
Q19. A house wife saved Rs. 2.50 in buying an item on sale. If she spent Rs.25 for the item, approximately how much percent she saved in the transaction?
Answer: 9%
Explanation: Original price = 25+2.50 = Rs. 27.50; savings% = (2.50/27.50)×100 ≈ 9%.
Q20. In a class of 120 students , 45 students received a grade of B.What percent of the class received a grade of B?
Answer: 37.50%
Explanation: 45 out of 120 students received grade B: 45/120 × 100 = 37.5%.