Partnership problems
- 1. A starts a business with ? 4000 and B joins him after 3 months with ? 16000. Find the ratio of their profit at the end of year.
Options- A. 1 : 3
- B. 2 : 3
- C. 1 : 9
- D. 1 : 7 Discuss
Correct Answer: 1 : 3
Explanation:
A's share : B's share
= Ratio of products of investment and time period of investment
= (4000 x 12) : 16000 x (12 - 3)
= 4 x 12 : 16 x 9
= 1 : 3
Note Here, the partnership is compound, in which A invested for 1 yr or 12 month and B invested 3 months later. it does mean B invested for (12 - 3) months.
- 2. A start a business with ? 9000 and B joins him after 6 months with an investment of ? 45000. What will be the investment of ? 45000. What will be the ratio of the profits of A and B at the end of year?
Options- A. 1 : 5
- B. 5 : 2
- C. 2 : 5
- D. 5 : 1 Discuss
Correct Answer: 2 : 5
Explanation:
A's share : B's share
= 900 x 12 : 45000 x (12 - 6)
= 12 : 5 x 6 = 2 : 5
- 3. Avinash, Manoj and Arun started a business in partnership investing in the ratio of 3 : 2 : 5 respectively. At the end of the year, they earned a profit of ? 45000 which is 15% of their total investment. How much did Manoj invest?
Options- A. ? 60000
- B. ? 180000
- C. ? 30000
- D. ? 90000 Discuss
Correct Answer: ? 60000
Explanation:
Total investment = (100/15) x 45000 = ? 300000
? Investment of Avinash : Investment of Manoj : investment of Arun = 3 : 2 : 5
? Investment of Manoj = (2/10) x 300000 = ? 60000
- 4. A, B, C entered into a partnership and their capitals are in the proportion of 1/3 : 1/4 : 1/5. A with draws half his capital at the end of 4 months. Out of a total annual profit of Rs. 847 A's share is?
Options- A. Rs. 252
- B. Rs. 280
- C. Rs. 315
- D. Rs. 412 Discuss
Correct Answer: Rs. 280
Explanation:
Ratio of capital in the beginning = 1/3 : 1/4 : 1/5 = 20 : 15 : 12.
Ratio of investment for the whole year = (20 x 4 + 10 x 8) : (15 x 12) : (12 x 12) = 40 : 45 : 36
? A's share = Rs. (847 x 40)/121 = Rs. 280
- 5. A, B and C entered into partnership. A invests some money at the beginning. B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 18,000, C's share is?
Options- A. Rs. 7500
- B. Rs. 7200
- C. Rs. 6000
- D. Rs. 5750 Discuss
Correct Answer: Rs. 6000
Explanation:
Suppose A invested Rs. N.
Then A : B : C = 12N : 6 x (2N) : 4 x (3N) = 1 : 1 : 1
? C's share = Rs. (18000) x 1/3 = Rs. 6000
- 6. A, B and C invest Rs. 2,000, Rs. 3,000 and Rs. 4,000 in a business. After one year A removed his money but B and C continued for one more year. If the net profit after 2 years be Rs. 3,200 then A's share in the profit is?
Options- A. Rs. 1000
- B. Rs. 600
- C. Rs. 800
- D. Rs. 400 Discuss
Correct Answer: Rs. 400
Explanation:
A : B : C = 2000 x 12 : 3000 x 24 : 4000 x 24 = 1 : 3 : 4
A's share = Rs. 3200 x (1/8) = Rs. 400
- 7. A and B enter into partnership investing Rs. 12,000 and Rs. 16,000 respectively. After 8 months C joins them with a capital of Rs. 15,000. The share of C in a profit of Rs. 45600 after 2 years will be?
Options- A. Rs. 21200
- B. Rs. 19200
- C. Rs. 14400
- D. Rs. 12000 Discuss
Correct Answer: Rs. 12000
Explanation:
Ratio of shares = 12000 x 24 : 16000 x 24 : 15000 x 16 = 6 : 8 : 5
? C's share = Rs. 45600 x (5/19) = Rs. 12000
- 8. Monaj got Rs.6000 as his share out of a total profit of Rs. 9,000 which he and Ramesh earned at the end of one year. If Monoj invested Rs. 20,000 for 6 months. Whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?
Options- A. Rs. 30000
- B. Rs. 40000
- C. Rs. 10000
- D. Rs. 5000 Discuss
Correct Answer: Rs. 5000
Explanation:
Let the amount invested by Ramesh = Rs. N
Then, 20000 x 6 : 12N = 6000 : 3000
? 120000/12N = 2/1
? N = 5000
- 9. A, B and C subscribed Rs. 47,000 for a business. A subscribe Rs. 7000 more than B and B Rs. 5,000 more than C. Out of a total profit of Rs. 9,400, B receives?
Options- A. Rs. 4400
- B. Rs. 3000
- C. Rs. 2000
- D. Rs.1737.90 Discuss
Correct Answer: Rs. 3000
Explanation:
Suppose C invests Rs. N
Then B's investment = Rs. (N + 5000)
and A's investment = Rs. (N + 12000)
? N + (N + 5000) + (N + 12000) = 47000
? N = 10000
Thus A : B : C = 22000 : 15000 : 10000 = 22 : 15 : 10
? B's share = Rs. (9400 x 15)/47 = Rs. 3000
- 10. If 6 (A's capital ) = 8 (B's capital) = 10 (C's capital) then the ratio of their capitals is?
Options- A. 3 : 4 : 5
- B. 12 : 15 : 20
- C. 20 : 15 : 12
- D. 6 : 8 : 10 Discuss
Correct Answer: 20 : 15 : 12
Explanation:
Let 6 (A's capital) = 8 (B's capital) = 10 (C's capital) = k
Then A's capital = k/6 B's capital = k/8
and C's capital = k/10
? Ratio of capitals of A, B, and C = (k/ 6) : (k/8) : (k/10) = 20 : 15 : 12.
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