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- Question
- 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
- Correct Answer
- 1 : 3
ExplanationA'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. - 1. P, Q and R start a business. P invests 3 times as much as Q invests and Q invests 2/3rd as much as R invests. Find the ratio of capitals of P, Q and R?
Options- A. 3 : 2 : 6
- B. 2 : 6 : 3
- C. 6 : 2 : 3
- D. 5 : 2 : 3 Discuss
- 2. Pinku, Rinku and Tinku divide an amount of ? 4200 amongst themselves in the ratio of 7 : 8 : 6, respectively. If an amount of ? 200 is added to each of their shares, what will be the new respective ratio of their shares of amount?
Options- A. 8 : 9 : 5
- B. 7 : 9 : 5
- C. 7 : 8 : 6
- D. 8 : 9 : 7 Discuss
- 3. Reena, Reema and Meera take a car on rent and they use that car for 14 h, 16 h and 22 h, respectively. What amount will be paid by Meera, if total rent of the car is ? 2080?
Options- A. ? 880
- B. ? 1280
- C. ? 1040
- D. ? 960 Discuss
- 4. Rakesh, Dinesh and Mahesh start a business by investing ? 5000 , ? 8000 and ? 12000 , respectively . At the end of year, they got the profit of ? 12500. What is the share of Dinesh in profit?
Options- A. ? 4000
- B. ? 4500
- C. ? 6000
- D. ? 7500 Discuss
- 5. Ram, Shyam and Kamal together start a business in partnership. The ratio of their capitals is 3 : 4 : 7. If their annual profit be ? 21000, what will be Kamal's share in this profit?
Options- A. ? 12500
- B. ? 10500
- C. ? 15000
- D. ? 10000 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Partnership problems
Search Results
Correct Answer: 6 : 2 : 3
Explanation:
Let investment of R = N
Then, investment of Q = 2N/3
and investment of P = 2N
? Ratio of capitals of P, Q and R = 2N : (2N/3) : N
= 6N : 2N : 3N = 6 : 2 : 3
Correct Answer: 8 : 9 : 7
Explanation:
Let pinku's share = 7N
Rinku's share = 8N
Tinku's share = 6N
According to the question,
7N + 8N + 6N = 4200
? 21N = 4200
? N = 4200/21 = 200
Hence. amount of Pinku = 7N = 7 x 200 = ? 1400
Amount of Rinku = 8N = 8 x 200 = ? 1600
Amount of Tinku = 6N = 6 x 200 = ? 1200
Now. ? 200 is added to each share
Then,
New ratio of shares
= (1400 + 200) : (1600 + 200) : (1200 + 200)
= 1600 : 1800 : 1400
= 16 : 18 : 14 = 8 : 9 : 7
Correct Answer: ? 880
Explanation:
Reena's share : Reema's share : Meera's share
Ratio of time period for which the car was used
= 14 : 16 : 22 = 7 : 8 : 11
Amount paid by Meera = [11/ (7+8+11)] x 2080 = (11/26) x 2080
= 11 x 80 = ? 880
Correct Answer: ? 4000
Explanation:
Share of Rakesh : Share of Dinesh : Share of Mahesh
= 5000 : 8000 : 12000 = 5 : 8 : 12
Total earned profit = ? 12500
? Share of Dinesh in profit
= [8/(5 + 8 + 12)] x 12500 = (8/25) x 12500
= 8 x 500 = ? 4000
Correct Answer: ? 10500
Explanation:
Given ratio of profits of Ram, Shyam and Kamal = Ratio of their capitals
= 3 : 4 : 7
Kamal's share = [7/(3 + 4 + 7)] x 21000
= 7 x 1500 = ? 10500
Correct Answer: 2 : 5
Explanation:
A's share : B's share
= 900 x 12 : 45000 x (12 - 6)
= 12 : 5 x 6 = 2 : 5
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
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
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
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
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