Multiple choice

Three partners X, Y and Z started their business by investing ₹40,000, ₹38,000 and ₹30,000, respectively. After 6 months, X and Z made additional investments of ₹20,000 and ₹15,000 respectively, whereas Y withdrew ₹8,000. Find the share of Y (in ₹) in the total profit of ₹38,880 made at the end of the year.

  1. 10,950

  2. 10,880

  3. 9,800

  4. 10,200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

X: 40k*6 + 60k*6 = 600k. Y: 38k*6 + 30k*6 = 408k. Z: 30k*6 + 45k*6 = 450k. Total ratio = 600:408:450 = 100:68:75. Total parts = 243. Y's share = 68/243 * 38880 = 68 * 160 = 10880.

AI explanation

Under the partnership method of equating the product of investment and time, the capital ratio for X, Y and Z is ((40000 * 6) + (60000 * 6)) : ((38000 * 6) + (30000 * 6)) : ((30000 * 6) + (45000 * 6)), which simplifies to 600000 : 408000 : 450000 or 200 : 136 : 150. The total parts equal 486, and multiplying by the profit gives Y's share as (136 / 486) * 38880 = Rs. 10880.

Keep practicing — related questions