Partnership, Simple Interest, Compound Interest - Question Bank

1. A sum of money invested at compound interest amounts to $1,210 in 2 years and $1,331 in 3 years. The rate of interest per annum is:
A) 8%
B) 9%
C) 10%
D) 11%
2. The simple interest on a sum of money for 2 years is $500. The compound interest on the same sum for 2 years at the same rate is $525. The rate of interest is:
A) 5%
B) 10%
C) 15%
D) 20%
3. A sum of money becomes $1,000 in 2 years and $1,250 in 5 years at simple interest. The principal amount is:
A) $800
B) $850
C) $900
D) $950
4. A, B, and C invested $20,000, $30,000, and $40,000 respectively. A invested for 12 months, B for 8 months, and C for 6 months. If the total profit is $54,000, what is C's share?
A) $18,000
B) $20,000
C) $22,000
D) $24,000
5. Ramesh and Suresh entered into a partnership. Ramesh invested $50,000 for 4 months, and Suresh invested $40,000 for 6 months. If the profit is divided in the ratio 5:6, what is the total profit?
A) $30,000
B) $35,000
C) $40,000
D) $45,000
6. A and B started a business with $40,000 and $50,000 respectively. A invested for 12 months, and B invested for 8 months. If the total profit is $62,000, what is B's share?
A) $25,000
B) $27,000
C) $30,000
D) $32,000
7. The difference between the compound interest and simple interest on a certain sum for 3 years at 10% per annum is $31. The sum is:
A) $1,000
B) $1,200
C) $1,500
D) $2,000
8. A sum of money doubles itself in 8 years at compound interest. In how many years will it become 8 times itself?
A) 16 years
B) 20 years
C) 24 years
D) 32 years
9. The compound interest on a sum of money for 2 years is $102.50. The simple interest on the same sum for 2 years at the same rate is $100. What is the rate of interest?
A) 5%
B) 10%
C) 15%
D) 20%
10. A sum of money at simple interest triples itself in 15 years. In how many years will it become 5 times itself?
A) 25 years
B) 30 years
C) 35 years
D) 40 years
11. A sum of money becomes $1,500 in 2 years and $1,750 in 5 years at simple interest. The rate of interest is:
A) 5%
B) 6%
C) 7%
D) 8%
12. A and B started a business with $20,000 and $30,000 respectively. A invested for 12 months, and B invested for 8 months. If the profit is divided in the ratio 2:1, what is the total profit?
A) $20,000
B) $24,000
C) $28,000
D) $30,000
13. P, Q, and R entered into a partnership. P invested $30,000 for 12 months, Q invested $40,000 for 8 months, and R invested $50,000 for 6 months. If the total profit is $78,000, what is P's share?
A) $24,000
B) $27,000
C) $30,000
D) $36,000
14. Ravi invested $40,000 in a business. After 6 months, Suresh joined with $60,000. If the profit at the end of the year is $30,000, Ravi's share is:
A) $12,000
B) $15,000
C) $18,000
D) $20,000
15. A and B started a business with investments in the ratio 5:3. If A invested for 12 months and B invested for 8 months, and the total profit is $60,000, what is B's share?
A) $20,000
B) $24,000
C) $25,000
D) $30,000
16. The difference between compound interest and simple interest on $15,000 for 2 years at 6% per annum is:
A) $50
B) $54
C) $58
D) $60
17. A sum of money amounts to $1,331 in 3 years at compound interest. If the rate of interest is 10% per annum, the sum invested is:
A) $900
B) $1,000
C) $1,100
D) $1,200
18. The simple interest on a sum of money is $600 for 3 years. If the compound interest on the same sum for 2 years at the same rate is $410, what is the sum?
A) $4,000
B) $4,500
C) $5,000
D) $5,500
19. At what rate of simple interest will a sum of money become 9 times itself in 20 years?
A) 20%
B) 25%
C) 30%
D) 40%
20. A sum of money becomes $7,500 in 3 years and $8,500 in 5 years at simple interest. The rate of interest per annum is:
A) 3%
B) 4%
C) 5%
D) 6%
21. Ramesh and Suresh started a business with $20,000 and $30,000. Ramesh invested for 12 months, and Suresh invested for 8 months. If the profit is divided in the ratio 4:3, what is the total profit?
A) $28,000
B) $32,000
C) $36,000
D) $40,000
22. A, B, and C enter into a partnership. A invests $60,000 for 4 months, B invests $40,000 for 6 months, and C invests $50,000 for 8 months. If the total profit is $72,000, what is B's share?
A) $20,000
B) $24,000
C) $28,000
D) $30,000
23. P invested $30,000 in a partnership. After 6 months, Q joined with $45,000. If the profit at the end of the year is $27,000, Q's share is:
A) $12,000
B) $13,500
C) $15,000
D) $16,000
24. A and B started a business with $40,000 and $60,000. A invested for 12 months, and B invested for 8 months. If the total profit is $50,000, what is A's share?
A) $20,000
B) $22,500
C) $25,000
D) $27,500
25. A sum of money invested at compound interest amounts to $6,500 in 1 year and $7,800 in 2 years. The rate of interest per annum is:
A) 15%
B) 20%
C) 25%
D) 30%
26. What is the difference between the compound interest and simple interest on $10,000 for 2 years at 5% per annum?
A) $25
B) $50
C) $75
D) $100
27. The simple interest on a sum of money for 3 years is $225. If the compound interest on the same sum for 2 years at the same rate is $153.75, what is the sum?
A) $2,500
B) $3,000
C) $3,500
D) $4,000
28. A sum of money doubles itself in 5 years at simple interest. In how many years will it become 5 times itself?
A) 15 years
B) 20 years
C) 25 years
D) 30 years
29. A sum of money at simple interest becomes $2,100 in 3 years and $2,400 in 4 years. The rate of interest is:
A) 5%
B) 6%
C) 7%
D) 8%
30. Ramesh and Suresh entered into a partnership. Ramesh invested $40,000 for 6 months, and Suresh invested $30,000 for 8 months. If the total profit is $26,000, Ramesh's share is:
A) $10,000
B) $12,000
C) $14,000
D) $16,000
31. A, B, and C invested $10,000, $15,000, and $20,000 respectively. A invested for 12 months, B for 8 months, and C for 6 months. If the total profit is $48,000, what is C's share?
A) $12,000
B) $15,000
C) $16,000
D) $18,000
32. X and Y started a business. X invested $60,000. After 4 months, Y joined with $40,000. If the total profit at the end of the year is $30,000, X's share is:
A) $18,000
B) $20,000
C) $22,000
D) $24,000
33. A and B invested $25,000 and $35,000 in a partnership. A invested for 12 months, and B invested for 8 months. If the profit is divided in the ratio 5:7, what is the total profit?
A) $40,000
B) $45,000
C) $50,000
D) $55,000
34. The difference between the compound interest and simple interest on $5,000 for 2 years at 4% per annum is:
A) $30
B) $32
C) $35
D) $40
35. A sum of money invested at compound interest amounts to $2,420 in 2 years and $2,662 in 3 years. The rate of interest per annum is:
A) 8%
B) 10%
C) 12%
D) 15%
36. If the compound interest on a sum for 2 years at 5% is $510, the simple interest on the same sum for 2 years at 5% is:
A) $500
B) $505
C) $508
D) $512
37. The simple interest on a sum of money is $450 per year. If the principal is $5,000, what is the rate of interest?
A) 7%
B) 8%
C) 9%
D) 10%
38. At what rate of simple interest will a sum of money double itself in 12 years?
A) 7.5%
B) 8.33%
C) 10%
D) 12.5%
39. A sum of money becomes $1,350 in 2 years and $1,800 in 3 years at simple interest. The principal amount is:
A) $800
B) $900
C) $1,000
D) $1,100
40. P, Q, and R invested $40,000, $60,000, and $80,000 respectively in a business. P and Q invested for the whole year, while R invested for 9 months. If the total profit is $96,000, what is Q's share?
A) $32,000
B) $36,000
C) $40,000
D) $48,000
41. A and B started a business with initial investments in the ratio 3:2. After 6 months, A withdrew half of his capital. If the total profit at the end of the year was $40,000, what is B's share?
A) $16,000
B) $18,000
C) $20,000
D) $24,000
42. Ramesh invested $50,000 in a partnership. After 4 months, Suresh joined with $40,000. At the end of the year, the profit was $21,000. Ramesh's share of the profit is:
A) $12,000
B) $13,500
C) $15,000
D) $16,000
43. A sum of money at compound interest amounts to $1,650 in 1 year and $1,815 in 2 years. The rate of interest per annum is:
A) 8%
B) 10%
C) 12%
D) 15%
44. The difference between the compound interest and simple interest on a certain sum of money for 2 years at 8% per annum is $192. The sum is:
A) $25,000
B) $30,000
C) $35,000
D) $40,000
45. A sum of money amounts to $9,800 in 2 years and $12,005 in 3.5 years at simple interest. The rate of interest per annum is:
A) 5%
B) 6%
C) 7%
D) 8%
46. The simple interest on a certain sum for 2 years at 5% per annum is $150. What is the compound interest on the same sum for the same period at the same rate?
A) $150
B) $153.75
C) $155
D) $157.50
47. A sum of money doubles itself in 10 years at simple interest. In how many years will it triple itself?
A) 15 years
B) 20 years
C) 25 years
D) 30 years
48. Amit, Sumit, and Rohit started a business with investments of $15,000, $20,000, and $25,000 respectively. Amit and Sumit invested for the entire year, while Rohit withdrew his capital after 9 months. If the total profit is $72,000, what is Amit's share?
A) $24,000
B) $27,000
C) $30,000
D) $32,000
49. Ravi and Suresh start a business by investing $20,000 and $30,000 respectively. Ravi invests for 12 months, and Suresh invests for 8 months. If the total profit is $44,000, what is Suresh's share?
A) $18,000
B) $20,000
C) $24,000
D) $26,000
50. A, B, and C enter into a partnership. A invests $50,000 for 4 months, B invests $30,000 for 6 months, and C invests $40,000 for 8 months. If the total profit is $57,000, what is A's share?
A) $20,000
B) $24,000
C) $25,000
D) $28,500
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