Question

A and B start a business such that their initial investment is Rs. 3000 and Rs.4000 respectively. C joins them after 7 months by investing some amount. After one year the ratio of profit share of B to that of C is 8:5. Find the ratio of the investment of A to that of C.

• A. 1:2
• B. 3:5
• C. 5:3
• D. 7:9
• E. 2:1

Answer 1

The correct option is A

1:2

Let the investment of C be x Profit of A : Profit of B : Profit of C = 3000$\times$ 12 : 4000$\times$ 12 : x$\times$ 5

$\frac{4000\times 12}{x\times 5}$ = $\frac{8}{5}$

x = Rs.6000

$\frac{InvestmentofA}{InvestmentofB}=\frac{1}{2}$