Percentage, Ratio and Proportion - One Line Questions

1. If the numerator of a fraction is increased by 20% and the denominator is decreased by 20%, the value of the fraction becomes 25/36. What is the original fraction? — 1/2
2. If a number is increased by 20% and then decreased by 20%, what is the net percentage change? — 1% decrease
3. An item's price is increased by 10% and then decreased by 10%. What is the net percentage change in the price? — 1% decrease
4. If a number is increased by 10% and then decreased by 10%, what is the net change? — 1% decrease
5. The ratio of two numbers is 3:4. If 5 is subtracted from each number, the ratio becomes 2:3. The numbers are: — 15 and 20
6. A mixture contains milk and water in the ratio 5:2. If 5 liters of water are added to the mixture, the ratio becomes 5:3. Find the quantity of milk in the mixture. — 25 liters
7. The ratio of the cost price and selling price of an article is 10:11. The percentage of profit is: — 10%
8. If the price of an article is decreased by 20%, its sale increases by 80%. What is the net effect on the revenue? — 20% increase
9. If 50% of a number is 50, what is 150% of that number? — 150
10. A candidate who gets 30% of the votes polled fails by 50 votes. Another candidate who gets 60% of the votes polled wins by 200 votes. What is the total number of votes polled? — 1500
11. The ratio of two numbers is 4:5. If 3 is added to each number, the ratio becomes 5:6. The numbers are: — 16 and 20
12. The ratio of boys and girls in a class is 4:5. If there are 20 boys, how many girls are there? — 25
13. The ratio of two numbers is 3:5. If 10 is added to each number, the ratio becomes 5:7. What are the numbers? — 15 and 25
14. If a:b = 1/2 : 1/3 and b:c = 1/4 : 1/5, what is a:c? — 15:8
15. If 30% of a number is subtracted from the number, the result is 105. What is the number? — 150
16. An increase of 20% in the price of apples by what percentage should the consumption be reduced so that the expenditure does not change? — 16.67%
17. If 30% of a number is 90, what is 70% of that number? — 210
18. If a:b = 2:3 and b:c = 4:5, what is a:c? — 8:15
19. If 20% of A = 50% of B, then what is the ratio of A to B? — 5:2
20. If a number is decreased by 20% and then increased by 20%, what is the net percentage change? — 4% decrease
21. If 75% of a number is 150, what is 20% of that number? — 40
22. A's salary is 25% more than B's. By what percentage is B's salary less than A's? — 20%
23. A number is increased by 25%. By what percentage should it be decreased to restore the original value? — 20%
24. In an election between two candidates, one got 60% of the total valid votes and won by 800 votes. What is the total number of valid votes? — 2000
25. The ratio of the number of male and female employees in a company is 3:2. If 20% of males and 30% of females are management, what percentage of the total employees are management? — 24%
26. Two numbers are in the ratio 5:8. If 5 is added to each number, their ratio becomes 6:9. The numbers are: — 25 and 40
27. If a:b = 3:4 and b:c = 5:7, what is a:b:c? — 15:20:28
28. If x:y = 3:5 and y:z = 10:7, what is x:z? — 6:7
29. The ratio of marks obtained by P and Q is 2:3. If P obtained 24 marks, how many marks did Q obtain? — 36
30. The sum of two numbers is 120 and their ratio is 3:5. The numbers are: — 45 and 75
31. The ratio of the ages of A and B is 5:7. If the sum of their ages is 72 years, what is the present age of B? — 42 years
32. The ratio of two numbers is 7:9. If 5 is subtracted from each number, the ratio becomes 3:5. The numbers are: — 35 and 45
33. The ratio of the number of boys and girls in a school is 12:5. If there are 840 boys, how many girls are there? — 350
34. If 40% of a number is 240, what is 60% of that number? — 360
35. If 25% of a number is 125, what is 75% of that number? — 375
36. Two numbers are in the ratio 2:3. If their product is 54, find the numbers. — 6 and 9
37. If the length of a rectangle is increased by 30% and the width is decreased by 20%, what is the net percentage change in its area? — 4% increase
38. If 60% of a number is 360, what is 80% of that number? — 480
39. If 45% of a number is 270, what is 80% of that number? — 480
40. The ratio of two numbers is 7:11. If 7 is added to both numbers, the ratio becomes 2:3. The numbers are: — 49 and 77
41. What percentage of 8 hours is 24 minutes? — 2.5%
42. If 40% of a number is 80, what is 30% of that number? — 60
43. The difference between two numbers is 15% of their sum. If the sum of the numbers is 100, find the numbers. — 57.5 and 42.5
44. If a number is increased by 25% and then decreased by 25%, what is the net percentage change? — 6.25% decrease
45. The ratio of two numbers is 1:2. If 7 is added to both numbers, their ratio becomes 2:3. The numbers are: — 7 and 14
46. If x is 10% more than y, then y is what percentage less than x? — 9.09%
47. A person spends 70% of his income. If his income increases by 20% and his expenditure increases by 30%, his savings: — Decrease by 10%
48. If the ratio of A's income to B's income is 4:3, and A's income is Rs. 16000, what is B's income? — Rs. 12000
49. A sum of money is divided among A, B, and C in the ratio 2:3:7. If C's share is Rs. 4200, what is A's share? — Rs. 1200
50. A reduction of 20% in the price of an item enables a purchaser to obtain 1 kg more for Rs. 100. What was the original price per kg? — Rs. 10
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