A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find C's share. Choose one.
A) Rs. 3240	B) Rs. 2520	C) Rs. 2880	D) Rs. 3360	E) None of these
Explanation:   Let C's investment = Rs. x   B's investment = Rs. (x - 3000)   A's investment = Rs. (x - 3000 + 6000) = Rs. (x + 3000)   Now, (A + B + C)'s investment = Rs. 72000   =&gt; x + (x - 3000) + (x + 3000) = 72000   =&gt; 3x = 72000   =&gt; x = 24000   Hence, A's investment = Rs. 27000   B's investment = Rs. 21000   C's investment = Rs. 24000   Ratio of the capitals of A, B and C   = 27000 : 21000 : 24000   = 9 : 7 : 8   A's share = Rs. [(8/24) Ã— 8640] = Rs. 2880   Answer: Option Rs. 2880
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A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find C's share.