Multiple choice

P starts business with Rs.4500 and after 9 months, Q joins with P as his partner. After a year, the profit divided in the 3 : 5. What is Q's contribution in the capital?

  1. Rs. 5,000

  2. Rs. 10,000

  3. Rs. 20,000

  4. Rs.30,000

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit ratio = (Investment_P * Time_P) / (Investment_Q * Time_Q). 3/5 = (4500 * 12) / (Q * 3). 3/5 = 54000 / (3Q). 9Q = 270000. Q = 30000.

AI explanation

P invested Rs. 4500 for 12 months, so P's effective capital is 4500 * 12 = 54000. Q invested for the remaining 3 months of the year, giving an effective capital of Q's amount times 3. The profit ratio of P to Q is 3 : 5, so we can write 54000 / (Q's amount * 3) = 3 / 5. Solving for Q's amount gives Q's amount * 9 = 270000, so Q's contribution is Rs. 30000.

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