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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?1). Rs. 20002). Rs. 22003). Rs. 23004). Rs. 2400 |
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Answer» Let total profit = RS. x A’s share in profit = x/15 ⇒ REMAINING profit = 1 - x/15 = 14x/15 ⇒ B’s share = 3/7 × 14x/15 = 2x/5 ⇒ C’s share = 4/7 × 14x/15 = 8x/15 According to the question, C - A = 2800 ⇒ 8x/15 - x/15 = 2800 ⇒ 7x/15 = 2800 ⇒ x = 15 × 400 = Rs. 6000 B’s share = 2x/5 = (2 × 6000)/5 = Rs. 2400 ∴ B’s share is Rs. 2400 |
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