A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
Step 1: We need to find out B's contribution to the capital.
Step 2: We know that A started the business with Rs. 3500 and B joined after 5 months.
Step 3: Since B joined after 5 months, A would have been running the business alone for the first 5 months.
Step 4: To find out B's contribution, we need to consider the time B was a partner. So, B's time as a partner is 12 months - 5 months = 7 months.
Step 5: Now, let's calculate A's contribution for the entire year. A's capital for the first 5 months is Rs. 3500, and for the remaining 7 months, it is 0 since B joined and contributed the remaining capital.
Step 6: A's total capital for the year is Rs. 3500 x 5 months = Rs. 17,500.
Step 7: The profit is divided in the ratio 2:3. Let's assume that the profit is P. So, A's share would be 2P/5 and B's share would be 3P/5.
Step 8: We know that A's capital for the year is Rs. 17,500. This is equal to A's share of the profit, which is 2P/5.
Step 9: Now, let's solve the equation:
17,500 = (2P/5)
Multiplying both sides by 5 gives us:
87,500 = 2P
Dividing both sides by 2 gives us:
P = 43,750
Step 10: Now that we have the profit, let's find out B's share.
B's share of the profit is 3P/5 = 3 x 43,750/5 = Rs. 26,250
Step 11: B's share of the profit is equal to B's contribution to the capital. Therefore, B's contribution to the capital is Rs. 26,250.
So, B's contribution to the capital is Rs. 26,250.
Astarts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3.
ToFind:
B'scontribution in capital?
Solution :
Let the B'scontribution in the capital be x. Astartsbuisness with amount Rs.is 3500A'scontribution for 12months.
So, we have
A'scontribution is Rs.(3500×12)is Rs.42000. Months leftafter joining Bis (12-5)is 7months. Consider B'scontribution is x. B'scontribution for 7months is (7×x=7x). Profit is divided in the ratio is 2:3.
Answers & Comments
Answer:
Let's break down the problem step by step:
Step 1: We need to find out B's contribution to the capital.
Step 2: We know that A started the business with Rs. 3500 and B joined after 5 months.
Step 3: Since B joined after 5 months, A would have been running the business alone for the first 5 months.
Step 4: To find out B's contribution, we need to consider the time B was a partner. So, B's time as a partner is 12 months - 5 months = 7 months.
Step 5: Now, let's calculate A's contribution for the entire year. A's capital for the first 5 months is Rs. 3500, and for the remaining 7 months, it is 0 since B joined and contributed the remaining capital.
Step 6: A's total capital for the year is Rs. 3500 x 5 months = Rs. 17,500.
Step 7: The profit is divided in the ratio 2:3. Let's assume that the profit is P. So, A's share would be 2P/5 and B's share would be 3P/5.
Step 8: We know that A's capital for the year is Rs. 17,500. This is equal to A's share of the profit, which is 2P/5.
Step 9: Now, let's solve the equation:
17,500 = (2P/5)
Multiplying both sides by 5 gives us:
87,500 = 2P
Dividing both sides by 2 gives us:
P = 43,750
Step 10: Now that we have the profit, let's find out B's share.
B's share of the profit is 3P/5 = 3 x 43,750/5 = Rs. 26,250
Step 11: B's share of the profit is equal to B's contribution to the capital. Therefore, B's contribution to the capital is Rs. 26,250.
So, B's contribution to the capital is Rs. 26,250.
Step-by-step explanation:
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Verified answer
Answer :
Given :
To Find :
Solution :
So, we have
On substituting the given values,
➛ A's contribution : B's contribution = 2 : 3
➛ 42000 : 7x = 2 : 3
➛ 42000/7x = 2/3
➛ 42000 × 3 = 7x × 2
➛ 126000 = 14x
➛ x = 126000/14
➛ x = 9000
Hence,