Multiple choice

A, B and C started a business and invested in the ratio of (\frac{1}{3}: \frac{1}{2}: \frac{2}{5}). After three months, A doubled his investments and after one more month, C withdrew half of his investment. After 8 more months, the business gives a profit of Rs. 40500. Find the C’s share.

  1. Rs. 10125

  2. Rs. 8000

  3. Rs. 5000

  4. Rs. 5500

  5. Rs. 20250

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

Investment ratio 1/3:1/2:2/5 = 10:15:12. A invested 10x for 3 months then 20x for 9 months = 210x-months. B invested 15x for 12 months = 180x-months. C invested 12x for 4 months then 6x for 8 months = 96x-months. Ratio 210:180:96 = 35:30:16. C's share = (16/81)×40500 = 8000.