A started a business with Rs. 25,000 and is joined afterwards by B with Rs. 40,000. After how many months did B join if the profits at the end of the year are divided equally?
Explanation:
A invested for 1 year i.e., 12 months. Let the time invested by B is x months.
We know that ratio of profit = ratio of (investment × time)
Profit of AProfit of B = IA×TAIB×TB
⇒ 11 = 25000×1240000×x
⇒ 40000x = 25000 × 12
⇒ 8x = 5 × 12
⇒ x = 60/8 = 7.5
∴ B invested after 12 - 7.5 = 4.5 months.
Hence, option (c).
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