Question

A started a business with Rs 10000 and B joined him later with a capital of Rs 40000. If at the end of the year, they both get an equal share of the profit, how many months after the business started did B join it ?

• A. 4 months
• B. 6 months
• C. 8 months
• D. 9 months
• E. None of these

Answer 1

The correct option is D 9 months

Suppose, B joins A after K months
$\therefore$ Investments of A and B are in the ratio of $10000\times 12:40000\times (12-K)$
$\therefore 10000\times 12=40000\times (12-K)$
i.e., $4(12-K)=12\Rightarrow K=9$