a) Rs. 11200
b) Rs. 9600
c) Rs. 9020
d) Rs. 12000
Answer: c
Explanation: Let B’s investment be Rs. x
A’s investment be Rs.2x
C’s investment be Rs.2x
A invests money for 12 months
B invests money for 8 months
C invests money for 6 months
Ratio of the equivalent capitals of A, B and C for 1 month
$$\eqalign{
& = 2x \times 12:x \times 8:2x \times 6 \cr
& = 6:2:3 \cr} $$
Sum of the terms of ratio
$$6 + 2 + 3 = 11$$
If the total profit at the end of the year be Rs. a
Then share of C
$$\eqalign{
& \frac{{3a}}{{11}} = 2460 \cr
& 3a = 2460 \times 11 \cr
& a = \frac{{2460 \times 11}}{3} \cr
& a = {\text{Rs}}{\text{.}}\,9020 \cr} $$
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