Multiple choice

A, B and C stared a partnership business. At the end of the year, they shared the profit in the ratio 5 : 6 : 9. If the capital of A was Rs. 16,000 less than C's capital, then what was the total capital of A, B and C together?

  1. Rs. 90,000

  2. Rs. 80,000

  3. Rs. 60,000

  4. Rs. 95,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit ratio 5:6:9. Let capitals be 5x, 6x, 9x. Difference between A and C is 9x - 5x = 4x = 16,000. So x = 4,000. Total capital = 5x + 6x + 9x = 20x = 20 * 4,000 = 80,000.

AI explanation

Because the time period is the same for all partners, the profit sharing ratio of 5 : 6 : 9 equals their capital ratio. Let the common multiplier be x, so the capitals are 5x, 6x, and 9x. The difference between C's and A's capital is 9x - 5x = 4x, which is given as 16000, meaning x equals 4000. The total capital is the sum of the ratio parts (5 + 6 + 9 = 20), so 20 * 4000 equals 80000.

Keep practicing — related questions