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A receives 1/15th of the total profit and the remaining is divided between B and C in the ratio of 3 : 4. If the difference between the profit shares of C and A is Rs. 2800. What is B’s share?
Rs. 2000
Rs. 2200
Rs. 2300
Rs. 2400
None of these
- A receives 1/15th of the total profit. Therefore, A's share is \( \frac{1}{15} \times \text{Total Profit} \).
- The remaining profit, which is \( \frac{14}{15} \times \text{Total Profit} \), is shared between B and C in the ratio 3:4.
- Let's denote the total profit as \( X \).
- A's share = \( X/15 \).
- Remaining profit = \( 14X/15 \).
- B's share = \( \frac{3}{7} \times \frac{14X}{15} = \frac{42X}{105} = \frac{2X}{5} \).
- C's share = \( \frac{4}{7} \times \frac{14X}{15} = \frac{56X}{105} = \frac{8X}{15} \).
- Given that the difference between C's and A's share is Rs. 2800:
- \( \frac{8X}{15} - \frac{X}{15} = 2800 \).
- \( \frac{7X}{15} = 2800 \).
- \( X = 6000 \) (Total profit).
Now:
- B's share = \( \frac{2X}{5} = \frac{2 \times 6000}{5} = 2400 \).
- Correct Answer:
- Rs. 2400 (Option 4)
By: Parvesh Mehta ProfileResourcesReport error
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