Maths · Arithmetic and Geometric progressions
began a business with Rs. He was joined afterwards by with Rs. For how much peri
\( A \) 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 \( 3: 1 ? \)
- A. 4 months
- B. 5 months
- C. 6 months
- D. 8 months
Step-by-step solution
Let B join for t months. A's investment for 12 months: 85000*12. B's investment for t months: 42500*t. Profit ratio = (85000*12):(42500*t) = 3:1. So (85000*12)/(42500*t) = 3/1 => 24/t = 3 => t = 8 months.
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