Question

A began a business with Rs. $85000$. He was joined afterwards by B with Rs. $42500$. For how much period does B join if the profit at the year is divided in the ratio of $3:1$?

• A. $4$ months
• B. $5$ months
• C. $6$ months
• D. $8$ months

Answer 1

The correct option is D $8$ months

Let B join for $x$ months.

Each person gets profit according to his/her investment and amount of time.

Given: $\frac{85000\times 12\times P}{42500\times x\times P}=\frac{3}{1}$;

P=Total profit

$\Rightarrow 42500\times x=85000\times 4$

$\Rightarrow x=2\times 4=8$ months