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- Question
What is the difference in the shares of profit between P and Q in a joint business at the end of one year ? a. P Invested Rs. 80,000 and withdrew Rs. 20,000 after 6 months. b. Q joined four months after the start of business. c. Q's amount was 80% of P's amount during the last six months.
Options- A. Only a
- B. Only c
- C. Both a & b
- D. Data is not sufficient
- Correct Answer
- Data is not sufficient
Explanationa. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month.
b & c. Q's investment = 80% of Rs. 60000 for 8 months.
= Rs.(48000 x 8) for 1 month = 384000 for 1 month
P : Q = 840000 : 384000 = 35 : 16.
But, the total profit is not given, so data is inadequate.
- 1. Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ?
Options- A. Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840
- B. Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
- C. Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840
- D. Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940 Discuss
- 2. A and B invest in a business in the ratio 2 : 5. If 50% of the total profit goes to charity and A's share is Rs 3.6 lakhs, the total profit is Rs __________ lakhs.
Options- A. 12.6
- B. 25.2
- C. 37.8
- D. 16.8 Discuss
- 3. A sum of Rs 2489 is divided among A, B and C such that if Rs 12, Rs 12 and Rs 5 be diminish from the shares of A, B and C respectively, then theirshares will be in the ratio of 5 : 3 : 4. What is the new share (in Rs) of C?
Options- A. 750
- B. 1060
- C. 1475
- D. 820 Discuss
- 4. Umar and Avinash started a partnership with investments of Rs. 10000 and Rs. 15000, respectively. But due to a financial emergency the latter had to withdraw his investment after 8 months. In what ratio should the profit of the first twelve months be shared among the duo?
Options- A. 3:2
- B. 2:3
- C. 1:2
- D. 1:1 Discuss
- 5. If 6 (P's Capital ) = 8 ( Q's Capital ) = 12 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive ?
Options- A. Rs. 1033.33
- B. Rs. 1024
- C. Rs. 1148.14
- D. Rs. 1245.32 Discuss
- 6. Two persons A and B invested in a business with 115000and 75000 rupees respectively. They agree that 40% of theprofit should be divided equally among them and rest isdivided between them according to their investment. If Agot 500 rupee more than B, then the total profit is
Options- A. 3599.34
- B. 699.34
- C. 3958.34
- D. 999.34 Discuss
- 7. 3 brothers divided Rs. 1620 among them in such a way that the share of second is equal to 5/13 of share of other two, combined. What is the share of the second one?
Options- A. Rs. 1170
- B. Rs. 450
- C. Rs. 540
- D. Rs. 500 Discuss
- 8. Rs 6300 is divided among A, B and C in the ratio of 1/2 : 1 : 3/5. What is the share (in Rs) of B?
Options- A. 3300
- B. 2700
- C. 3000
- D. 4200 Discuss
- 9. A sum of Rs 3170 is divided among X, Y and Z such that if Rs 13, Rs 12 and Rs 18 will be diminished from the shares of X, Y and Z respectively, then their shares will be in the ratio 20 : 18 : 21. What is the initial share (in Rs) of Z?
Options- A. 1131
- B. 1530
- C. 910
- D. 1350 Discuss
- 10. Mohit and Anshu invested some money in a business in the ratio 8 : 15 respectively. After 9 months Mohit withdraws his capital. If they receive profits in the ratio 4 : 5, then for how many months did Anshu invest in the business?
Options- A. 4
- B. 5
- C. 8
- D. 6 Discuss
Partnership problems
Search Results
Correct Answer: Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840
Explanation:
Initial investment of Ram = Rs.2500.
After 2 months he withdraw Rs.1250 from his capital.
Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.
Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.
And, Rakesh invested Rs.3500 for 3 months;
Their investing ratio:
Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)
= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42
Total profit for 6 months = Rs.2540
Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800
Raj's share = Rs.(2540 x 45/127) = Rs.900
Rakesh's share = Rs.(2540 x 42/127) = Rs.840
Correct Answer: 25.2
Correct Answer: 820
Correct Answer: 1:1
Correct Answer: Rs. 1033.33
Explanation:
Let
P's capital = p,
Q's capital = q and
R's capital = r.
Then
6p = 8q = 12r
=> 3p = 4q = 6r
=>q = 3p/4
r = 3p/6 = p/2
P : Q : R = p : 3p/4 : p/2
= 4 : 3 : 2
R's share = 4650 * (2/9) = 150*6 = Rs. 1033.33.
Correct Answer: 3958.34
Explanation:
Ratio in which the profit will divide ? 23:15. Let theprofit be P
Now, [(23/38) - (15/38)] x (60/100) x P = 500
P = 3958.34
Correct Answer: Rs. 450
Correct Answer: 3000
Correct Answer: 1131
Correct Answer: 6
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