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1. Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh

A. Rs. 2000

B. Rs. 30000

C. Rs. 4000

D. Rs. 5000

Solution:

Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 120000 × 6 : x × 12.

\begin{aligned} \frac{720000}{12 x} : \frac{6000}{3000} \\ \Rightarrow x = \frac{720000}{24} \\ \Rightarrow x = 30000 \end{aligned}

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