Multiple choice

A and B starts a partnership business. A invests Rs.500 for 9 months and B invests his capital for 6 months. Total profit is Rs.69 and B gets Rs.46 as profit. The capital of B is- A और B एक साझे में व्यवसाय प्रारम्भ करते हैं । A, रू.500, 9 महीने के लिए निवेश करता है और B, अपनी पूंजी 6 महीने के लिए निवेश करता है । कुल लाभ रू. 69 और B, रू. 46 लाभ के रूप में प्राप्त करता है । B की पूंजी है-

  1. Rs. 1650

  2. Rs. 1500

  3. Rs. 1550

  4. Rs. 1680

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

Profit sharing ratio = (investment × time) ratio. A: 500 × 9 = 4500. Let B's capital be x. B: x × 6. Ratio A:B = 4500:6x = 750:x. B's profit share = 6x/(4500 + 6x) × 69 = 46. Solving: 414x = 207000 + 276x, so 138x = 207000, x = 1500. Option B is correct.