Question

A and B both start a business. Amount invested by B is one-third of that invested by A. Three months from the start of the business, A withdrew one-third of his investment and B tripled his investments. If from the total annual profit earned, A receives Rs. 1800 as his share of the profit, what was the total annual profit earned?

• A. Rs. 2850
• B. Rs. 4750
• C. Rs. 3800
• D. Rs. 3600
• E. Rs. 5400

Answer 1

The correct option is C Rs. 3800

Let, A Invest Rs. x for 3 months
then B Invest Rs. $\frac{x}{3}$ for 3 months
Then, after 3 months,
A invest Rs. $(x-\frac{x}{3})=Rs.\frac{2x}{3}$ for 9 months
and B invest $\left(3.\frac{x}{3}\right)=Rs.x$ for 9 months
Share of A =x for 3 months+ $\frac{2x}{3}$ for 9 months
=x $times$ 3 + $\frac{2x}{3}\times 9=3x+6x=9x$
Share of B = $\frac{x}{3}$ for 3 months +x for 9 months
$\frac{x}{3}\times 3+x\times 9$
A's share in the profit= $\frac{A^{\prime }sinvestment}{(A+B{)}^{\prime }sinvestment}\times Totalprofit$
$TotalProfit=\frac{1800\times 19x}{9x}=Rs.3800$