Multiple choice

Directions: Solve the following question and mark the best possible option. A and B started a business by investing Rs. 2,400 and Rs. 3,600, respectively. At the end of the 4th month from the start of the business, C joined with Rs. 'X'. After 8 months from the start of the business, B withdrew Rs. 600. If C's share was Rs. 8,000 in the annual profit of Rs. 22,500, what was the amount that C invested in the business?

  1. Rs. 7,200

  2. Rs. 5,800

  3. Rs. 4,000

  4. Rs. 4,800

  5. Rs. 8,800
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Calculate the investment-time product for each partner. A invests 2400 for 12 months (28800). B invests 3600 for 8 months and 3000 for 4 months (28800 + 12000 = 40800). C invests X for 8 months (8X). Using the profit ratio 8000/22500 = 8X / (28800 + 40800 + 8X), solve for X to get 4800.

AI explanation

The profit ratio of A, B, and C is (2400 * 12) : (3600 * 8 + 3000 * 4) : (X * 8), which simplifies to 28800 : 40800 : 8X or 360 : 510 : X. Since C's share of Rs. 8000 comes from an annual profit of Rs. 22500, the ratio of C's share to the total profit is X / (360 + 510 + X) equals 8000 / 22500. Solving X / (870 + X) equals 16 / 45 gives 45X = 13920 + 16X, resulting in 29X = 13920 and X = 4800. C invested Rs. 4,800.

Keep practicing — related questions