Ratio proportion percentage profit and loss simple and compound interest. - One Line Questions

1. What is the ratio of 15 minutes to 1 hour? — 1:4
2. Find the ratio of 500 grams to 2 kilograms. — 1:4
3. If the length of a rectangle is increased by 10% and the width is decreased by 10%, what is the net percentage change in its area? — 1% decrease
4. A mixture contains milk and water in the ratio 5:2. If 5 liters of water are added, the ratio becomes 5:3. What was the initial quantity of milk? — 25 liters
5. If the ratio of the cost price and selling price of an article is 10:11, the profit percentage is: — 10%
6. What is the percentage decrease if the price of an item drops from Rs. 50 to Rs. 40? — 20%
7. If the price of 10 pens is equal to the cost price of 6 pens plus the selling price of 4 pens, what is the loss percentage? — 20%
8. What is the loss percentage if an article is bought for Rs. 150 and sold for Rs. 120? — 20%
9. In a class, the ratio of boys to girls is 4:3. If there are 28 students in total, how many girls are there? — 12
10. If A's income is 20% more than B's income, by what percentage is B's income less than A's income? — 16.67%
11. If 60% of a number is 120, what is the number? — 200
12. If Rs. 6000 is invested at a simple interest rate of 7% per annum, how many years will it take for the investment to grow to Rs. 7200? — 2 years
13. If a:b = 2:3 and b:c = 4:5, what is the ratio a:c? — 8:15
14. Which is greater: 2/3 of 70 or 3/4 of 80? — 3/4 of 80
15. If the ratio of two numbers is 3:5 and their sum is 80, what are the numbers? — 30 and 50
16. A shopkeeper buys an item for Rs. 400 and sells it for Rs. 500. What is the profit percentage? — 25%
17. If the cost price is 80% of the selling price, what is the profit percentage? — 25%
18. If the selling price of 12 articles is equal to the cost price of 15 articles, the gain percentage is: — 25%
19. A sum of money triples itself in 12 years at compound interest. In how many years will it become 9 times itself? — 36 years
20. The ratio of apples to oranges in a basket is 5:2. If there are 35 fruits in total, how many apples are there? — 25
21. If 40% of a number is 200, then 60% of that number is: — 300
22. If the cost price of 20 articles is equal to the selling price of 15 articles, the profit percentage is: — 33.33%
23. Two numbers are in the ratio 2:5. If 3 is added to both numbers, their ratio becomes 5:11. What are the original numbers? — 4 and 10
24. What is the ratio of the area of a square to the area of a circle inscribed in it? — 4:π
25. What is the ratio of the sum of interior angles of a pentagon to that of a triangle? — 5:1
26. At what rate of simple interest will Rs. 4000 amount to Rs. 4600 in 2 years? — 7.5%
27. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum? — 10%
28. What is 25% of 200? — 50
29. Express 3/4 as a percentage. — 75%
30. A sum of Rs. 1600 earns Rs. 256 as simple interest in 2 years. What is the rate of interest per annum? — 8%
31. Two numbers are in the ratio 7:11. If the difference between the numbers is 40, find the numbers. — 70 and 110
32. A student scores 80 marks out of 100. What is their percentage score? — 80%
33. A shopkeeper marks the price of an item 20% above its cost price and then offers a 10% discount. What is the overall profit percentage? — 8%
34. If an item is sold for Rs. 800 at a loss of 20%, what was the cost price? — Rs. 1000
35. Find the simple interest on Rs. 5000 for 3 years at an annual interest rate of 8%. — Rs. 1200
36. Find the compound interest on Rs. 10000 for 2 years at 5% per annum, compounded annually. — Rs. 1025
37. A man spends 60% of his salary on rent and 20% on food. If he saves Rs. 2000, what is his salary? — Rs. 10000
38. What will Rs. 8000 amount to in 3 years at 10% per annum compound interest, compounded annually? — Rs. 10648
39. What is the principal amount if the simple interest earned in 5 years at 6% per annum is Rs. 900? — Rs. 3000
40. A and B invest Rs. 8000 and Rs. 12000 respectively in a business. If the total profit is Rs. 5000, what is A's share of the profit? — Rs. 2000
41. A person buys 10 kg of sugar at Rs. 20/kg and 15 kg of sugar at Rs. 25/kg. What is the average price per kg? — Rs. 22.80
42. Find the compound interest on Rs. 15000 for 3 years at 5% per annum, compounded annually. — Rs. 2362.50
43. Calculate the compound interest on Rs. 5000 for 1 year at 8% per annum, compounded semi-annually. — Rs. 408
44. The difference between compound interest and simple interest on a certain sum for 2 years at 10% per annum is Rs. 40. What is the principal amount? — Rs. 4000
45. Find the amount if Rs. 4000 is invested for 2 years at 5% per annum compound interest, compounded annually. — Rs. 4410
46. What is the profit if an item costing Rs. 300 is sold for Rs. 360? — Rs. 60
47. If the price of a shirt is increased by 10% and the new price is Rs. 550, what was the original price? — Rs. 500
48. Calculate the simple interest for Rs. 10000 at 10% per annum for 6 months. — Rs. 500
49. A mobile phone is sold at a profit of 15%. If the selling price is Rs. 6900, find the cost price. — Rs. 6000
50. A sum of money becomes Rs. 9800 in 5 years at simple interest. If the rate is increased by 2%, the amount becomes Rs. 10400. What is the sum? — Rs. 8000
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