Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? In a business P, Q and R work together, what profit Q earns in 2 years? (A) P and Q started a business with the capital in the ratio 3 : 5 respectively (B) R joined them after 6 months with a capital of Rs. 4 lakh (C) At the end of 2 year the share of P in the profit was Rs. 60000

  1. Only A and C are sufficient

  2. Only B and C are sufficient

  3. Either A or B and C are sufficient

  4. All the three are necessary to answer

  5. All the three together are not sufficient

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Q's profit in 2 years depends on capital contribution and time. From (A): P:Q = 3:5, so P invests 3x, Q invests 5x. From (C): P's share after 2 years = Rs. 60000. Total profit ratio = P:P:Q = 3×24 : 5×24 : 4×18 = 72 : 120 : 72 = 2:3.33:2 (approximately). P's share is 60000, so Q's share = (120/72) × 60000 = Rs. 100000. Statement (B) about R's capital is irrelevant - R's profit share doesn't affect Q's. Only A and C are sufficient.