Omdutt started a business with a capital of Rs. 8000. After six months, Sanjay joined him with 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?
Let Sanjay invested $$Rs. x$$ in the business for 6 months
Omdutt invested Rs. 8,000 for 12 months
Thus, ratio of profit received by Omdutt and Sanjay
=> $$\frac{8000 \times 12}{x \times 6} = \frac{1}{1}$$
=> $$x = \frac{8000 \times 12}{6} = 8000 \times 2$$
=> $$x = Rs. 16,000$$
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