A, B and C started a business with a total investment of Rs. 90000. 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 the correct choice from the following answers.
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. 90000   =&gt; x + (x - 3000) + (x + 3000) = 90000   =&gt; 3x = 90000   =&gt; x = 30000   Hence, A's investment = Rs. 33000   B's investment = Rs. 27000   C's investment = Rs. 30000   Ratio of the capitals of A, B and C   = 33000 : 27000 : 30000   = 11 : 9 : 10   A's share = Rs. [(10/30) 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. 90000. 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.