Ratio proportion percentage profit and loss simple and compound interest. - Question Bank

1. A sum of money triples itself in 12 years at compound interest. In how many years will it become 9 times itself?
A) 24 years
B) 36 years
C) 30 years
D) 48 years
2. What is the ratio of the area of a square to the area of a circle inscribed in it?
A) 4:π
B) 2:π
C) π:4
D) π:2
3. If the cost price of 20 articles is equal to the selling price of 15 articles, the profit percentage is:
A) 33.33%
B) 25%
C) 30%
D) 35%
4. 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?
A) Rs. 22.50
B) Rs. 23.00
C) Rs. 22.80
D) Rs. 23.20
5. What is the ratio of the circumference of a circle to its diameter?
A) π:1
B) 2π:1
C) 1:π
D) 1:2π
6. If the selling price of 12 articles is equal to the cost price of 15 articles, the gain percentage is:
A) 20%
B) 25%
C) 30%
D) 15%
7. A sum of Rs. 1600 earns Rs. 256 as simple interest in 2 years. What is the rate of interest per annum?
A) 7%
B) 8%
C) 9%
D) 6%
8. 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?
A) 4 and 10
B) 6 and 15
C) 10 and 25
D) 8 and 20
9. Find the amount if Rs. 4000 is invested for 2 years at 5% per annum compound interest, compounded annually.
A) Rs. 4400
B) Rs. 4410
C) Rs. 4420
D) Rs. 4500
10. 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?
A) 10%
B) 20%
C) 25%
D) 15%
11. A man spends 60% of his salary on rent and 20% on food. If he saves Rs. 2000, what is his salary?
A) Rs. 10000
B) Rs. 12000
C) Rs. 11000
D) Rs. 12500
12. What is the ratio of the sum of interior angles of a pentagon to that of a triangle?
A) 5:1
B) 3:1
C) 4:1
D) 2:1
13. 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?
A) 1% increase
B) 1% decrease
C) No change
D) 2% decrease
14. What is the percentage decrease if the price of an item drops from Rs. 50 to Rs. 40?
A) 10%
B) 15%
C) 20%
D) 25%
15. 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?
A) Rs. 2000
B) Rs. 2500
C) Rs. 3000
D) Rs. 1500
16. Find the ratio of 500 grams to 2 kilograms.
A) 1:4
B) 1:2
C) 1:5
D) 1:3
17. If the cost price is 80% of the selling price, what is the profit percentage?
A) 20%
B) 25%
C) 15%
D) 10%
18. 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?
A) Rs. 7000
B) Rs. 8000
C) Rs. 7500
D) Rs. 8500
19. Which is greater: 2/3 of 70 or 3/4 of 80?
A) 2/3 of 70
B) 3/4 of 80
C) They are equal
D) Cannot be determined
20. If 40% of a number is 200, then 60% of that number is:
A) 300
B) 320
C) 280
D) 360
21. What is the profit if an item costing Rs. 300 is sold for Rs. 360?
A) Rs. 50
B) Rs. 70
C) Rs. 60
D) Rs. 40
22. 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?
A) 10 liters
B) 25 liters
C) 15 liters
D) 20 liters
23. If A's income is 20% more than B's income, by what percentage is B's income less than A's income?
A) 16.67%
B) 20%
C) 15%
D) 18.75%
24. What is the ratio of 15 minutes to 1 hour?
A) 1:3
B) 1:4
C) 1:5
D) 1:6
25. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum?
A) 5%
B) 10%
C) 15%
D) 8%
26. If the ratio of the cost price and selling price of an article is 10:11, the profit percentage is:
A) 10%
B) 11%
C) 9.09%
D) 5%
27. Find the compound interest on Rs. 15000 for 3 years at 5% per annum, compounded annually.
A) Rs. 2362.50
B) Rs. 2250
C) Rs. 2400
D) Rs. 2300
28. 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?
A) Rs. 4000
B) Rs. 5000
C) Rs. 3000
D) Rs. 4500
29. Calculate the compound interest on Rs. 5000 for 1 year at 8% per annum, compounded semi-annually.
A) Rs. 400
B) Rs. 408
C) Rs. 416
D) Rs. 420
30. What will Rs. 8000 amount to in 3 years at 10% per annum compound interest, compounded annually?
A) Rs. 10400
B) Rs. 10648
C) Rs. 10560
D) Rs. 10800
31. Find the compound interest on Rs. 10000 for 2 years at 5% per annum, compounded annually.
A) Rs. 1000
B) Rs. 1025
C) Rs. 1050
D) Rs. 1100
32. Calculate the simple interest for Rs. 10000 at 10% per annum for 6 months.
A) Rs. 500
B) Rs. 1000
C) Rs. 750
D) Rs. 250
33. 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?
A) 2 years
B) 3 years
C) 4 years
D) 5 years
34. At what rate of simple interest will Rs. 4000 amount to Rs. 4600 in 2 years?
A) 5%
B) 8%
C) 7.5%
D) 6%
35. What is the principal amount if the simple interest earned in 5 years at 6% per annum is Rs. 900?
A) Rs. 2000
B) Rs. 3000
C) Rs. 2500
D) Rs. 3500
36. Find the simple interest on Rs. 5000 for 3 years at an annual interest rate of 8%.
A) Rs. 1000
B) Rs. 1200
C) Rs. 1500
D) Rs. 1100
37. 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?
A) 8%
B) 10%
C) 12%
D) 6%
38. What is the loss percentage if an article is bought for Rs. 150 and sold for Rs. 120?
A) 15%
B) 25%
C) 20%
D) 10%
39. A mobile phone is sold at a profit of 15%. If the selling price is Rs. 6900, find the cost price.
A) Rs. 6000
B) Rs. 5865
C) Rs. 7935
D) Rs. 6500
40. If an item is sold for Rs. 800 at a loss of 20%, what was the cost price?
A) Rs. 1000
B) Rs. 960
C) Rs. 900
D) Rs. 1020
41. A shopkeeper buys an item for Rs. 400 and sells it for Rs. 500. What is the profit percentage?
A) 20%
B) 25%
C) 30%
D) 15%
42. If the price of a shirt is increased by 10% and the new price is Rs. 550, what was the original price?
A) Rs. 500
B) Rs. 495
C) Rs. 525
D) Rs. 450
43. Express 3/4 as a percentage.
A) 60%
B) 75%
C) 80%
D) 50%
44. A student scores 80 marks out of 100. What is their percentage score?
A) 70%
B) 85%
C) 80%
D) 90%
45. If 60% of a number is 120, what is the number?
A) 180
B) 200
C) 240
D) 150
46. What is 25% of 200?
A) 50
B) 25
C) 100
D) 75
47. The ratio of apples to oranges in a basket is 5:2. If there are 35 fruits in total, how many apples are there?
A) 25
B) 10
C) 30
D) 15
48. If a:b = 2:3 and b:c = 4:5, what is the ratio a:c?
A) 2:5
B) 8:15
C) 3:5
D) 2:4
49. Two numbers are in the ratio 7:11. If the difference between the numbers is 40, find the numbers.
A) 70 and 110
B) 77 and 117
C) 35 and 75
D) 105 and 145
50. In a class, the ratio of boys to girls is 4:3. If there are 28 students in total, how many girls are there?
A) 16
B) 12
C) 10
D) 14
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