A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Correct answer: D. 8 months
- A. 4 months
- B. 5 months
- C. 6 months
- D. 8 months
Explanation
A's capital-time product for 12 months is Rs. 85,000 x 12 months = 1,020,000 Rs.-months. Since the profit ratio A:B is 3:1, B's product must be 1/3 of A's, so Rs. 42,500 x t months = 340,000 Rs.-months and t = 8 months. A student may choose 6 months by comparing the capitals alone and failing to adjust for time.
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