Monaj got Rs.6000 as his share out of a total profit of

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Monaj got Rs.6000 as his share out of a total profit of Rs. 9,000 which he and Ramesh earned at the end of one year. If Monoj invested Rs. 20,000 for 6 months. Whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh ?

Let the amount invested by Ramesh = Rs. N
Then, 20000 x 6 : 12N = 6000 : 3000
⇒ 120000/12N = 2/1
∴ N = 5000