| A, B and C started a business by investing Rs. 8400, Rs. 15600 and Rs. 13200 respectively. All of them invested for equal period of time. If A's share of annual profit was Rs. 1960, then what was the difference in B's share of annual profit and C"s share of annual profit? [LIC (ADO) 2015] |
A) Rs. 560
B) Rs. 520
C) Rs. 540
D) Rs. 480
E) Rs. 600
Correct Answer: A
Solution :
| As we know, |
| Ratio of profits = Ratio of investments |
| \[\therefore \] A's share: B's share: C's share |
| = 8400 : 15600 : 13200 = 7 : 13 : 11 |
| Let As share = 7x, B's share |
| = 13x and C's share = 11x |
| According to the question, |
| \[7x=1960\]\[\Rightarrow \]\[x=280\] |
| Then, B's share \[=13\times 280=Rs.\,3640\] |
| C's share \[=11\times 280=Rs.\,\,3080\] |
| \[\therefore \] Required difference \[=3640-3080=Rs.\,560\] |
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