# P starts a business with an investment of Rs 6000. After 4 months Q joins the business and invests Rs 8000. R joins with an investment of Rs 10000 aft

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P starts a business with an investment of Rs 6000. After 4 months Q joins the business and invests Rs 8000. R joins with an investment of Rs 10000 after 4 more months. Find the ratio in which profit will be shared between P, Q and R after 2 years?
1. 9 ∶ 11 ∶ 10
2. 9 ∶ 12 ∶ 5
3. 9 ∶ 10 ∶ 10
4. 9 ∶ 11 ∶ 11
5. None of these

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Correct Answer - Option 3 : 9 ∶ 10 ∶ 10

Given:

P starts a business with an investment of Rs 6000.

After 4 months Q joins the business and invests Rs 8000.

R joins with an investment of Rs 10000 after 4 more months.

Formula used:

The ratio of profit sharing = Ratio of (Investment × Time)

Calculations:

Since P invested for 24 months, Q invested for 20 months and R invested for 16 months;

Ratio in which profit will be shared between P, Q and R after 2 years

⇒ (6000 × 24) ∶ (8000 × 20) ∶ (10000 × 16)

⇒ 9 ∶ 10 ∶ 10

∴ The required ratio is 9 ∶ 10 ∶ 10