Question

Rahul started a business with a capital of Rs 8,000. After six months, Sanjay joined him with an investment of some capital. If at the end of the year each of them gets equal amount as profit, how much did Sanjay invest in the business?

• A. Rs 16,000
• B. Rs 17,500
• C. Rs 18,000
• D. Rs 16,500

Answer 1

Answer: (A)

Rs 16,000

Answer 2

Let,
the investment made by Sanjay be Rupees $x$
Now,
\Rightarrow\;$$\text{Rahul capital} \times \text{Number of months invested = Sanjay capital} \times \text{Number of months invested}
\Rightarrow\;$$8000\times12 = x\times6 (since Sanjay joined after 6 months)
$\Rightarrow\;$x= Rs. 16000

The correct option is (A): Rs 16,000