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A and B invested Rs. 7000 and Rs. 8000 i...

A and B invested Rs. 7000 and Rs. 8000 in a firm. If the total profit after 2 years is Rs. 56,000 then, find the profit of B (approx).

A

A)Rs. 28,545

B

B)Rs. 27,396

C

C)Rs. 29,866

D

D)Rs. 28, 934

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step-by-step, we can follow these calculations: ### Step 1: Determine the investments of A and B - A's investment = Rs. 7000 - B's investment = Rs. 8000 ### Step 2: Calculate the total investment - Total investment = A's investment + B's investment - Total investment = 7000 + 8000 = Rs. 15000 ### Step 3: Find the ratio of their investments - The ratio of A's investment to B's investment = 7000 : 8000 - This can be simplified to 7 : 8. ### Step 4: Determine the total profit - Total profit after 2 years = Rs. 56000 ### Step 5: Calculate the total ratio parts - The total parts in the ratio = 7 + 8 = 15 parts ### Step 6: Calculate the value of one part - Value of one part = Total profit / Total parts - Value of one part = 56000 / 15 = Rs. 3733.33 (approx) ### Step 7: Calculate B's share of the profit - B's share = 8 parts - B's profit = 8 * Value of one part - B's profit = 8 * 3733.33 = Rs. 29866.67 (approx) ### Conclusion - Therefore, the profit of B is approximately Rs. 29867.
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