P, Q and R enter into a partnership. P invests some amount at the beginning. Q invests double the amount after 6 months and R invests thrice the amount invested by P after 8 months. They earn a profit of Rs. 36000 at the end of the year. What is R’s share in the profit?

P, Q and R enter into a partnership. P invests some amount at the beginning. Q invests double the amount after 6 months and R invests thrice the amount invested by P after 8 months. They earn a profit of Rs. 36000 at the end of the year. What is R’s share in the profit? Correct Answer Rs. 12000

Given:

Q invests double the amount of P after 6 months

R invests thrice the amount of P after 8 months

Total Profit = 36000

Concept:

Ratio and proportions concept is used

Calculation:

Let P be the amount invested by P

Then, ratio of profit = (P × 12) : (2 × P × 6) : (3 × P × 4)

⇒ Ratio = 1 : 1 : 1

∴ R’s share = (1/3) × 36000 = Rs. 12000

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