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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. 20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?
1. Rs. 4000
2. Rs. 10000
3. Rs. 5000
4. Rs. 6000

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Correct Answer - Option 3 : Rs. 5000

Given:

Manoj received Rs.6000 as his share.

The total profit is Rs.9000.

Manoj invested Rs.20000 for 6 months

Concept Used:

P1 : P2 = I1 × T1 : I2 × T2

P = Profit, I = Investment, T = Time 

Calculation:

Manoj received profit of Rs.6000.

Ramesh received profit = 9000 - 6000 = Rs.3000

Manoj invested Rs.20000 for 6 months.

Let the investment amount of Ramesh be x.

⇒ P1 : P2 = I1 × T1 : I2 × T2

⇒ 6000 : 3000 = 20000 × 6 : x × 12

⇒ 2 = 10000/x

⇒ x = Rs.5000

∴ The amount invested by Ramesh is  Rs.5000.

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