A, B and C started the business with the investment in the ratio of 3/4:5/7:3/2. Investment period of A, B and C is (x + 3) months, x months and (x – 1) months respectively. If the total profit of the business is Rs.19200 and the profit share of C is Rs.8400, then find the investment period of A.
A. 9 months
B. 10 months
C. 8 months
D. 12 months
E. 15 months
Sol:
Profit ratio of A, B and C = 3/4 * (x + 3):5/7 *
x:3/2 * (x – 1)
= (21x + 63):(20x):(42x – 42)
(42x – 42)/(83x + 21) = 8400/19200
672x – 672 = 581x + 147
x = 9
Investment period of A = 9 + 3 = 12 months
