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P and Q invested Rs. 50000 and Rs. 80000 respectively in a business. After 6 months, P again invested Rs. 20000, but Q withdrew Rs. 10000 from the business. At the end of the year, if P got a profit of Rs. 16800, how much profit did Q got?

P and Q invested Rs. 50000 and Rs. 80000 respectively in a business. After 6 months, P again invested Rs. 20000, but Q withdrew Rs. 10000 from the business. At the end of the year, if P got a profit of Rs. 16800, how much profit did Q got? Correct Answer Rs. 21000

Short Trick:

Diagram

Profit of Q = 16800/4 × 5 = Rs. 21000

Detailed Solution:

P invested Rs. 50000 and again invested Rs. 20000 after 6 months,

⇒ P’s total investment = (50000 × 6) + (70000 × 6)

= 300000 + 420000 = 720000

Q invested Rs. 80000 and withdrew Rs. 10000 after 6 months,

⇒ Q’s total investment = (80000 × 6) + (70000 × 6)

= 480000 + 420000 = 900000

∵ Ratio of profit shares = Ratio of total investments

⇒ Ratio of profit shares = 720000 ∶ 900000 = 4 ∶ 5

Now, P’s profit = Rs. 16800

⇒ 16800 ∶ Q’s profit = 4 ∶ 5

∴ Q’s profit = 5/4 × 16800 = Rs. 21000

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