Question
A started a business with Rs. 21,000 and is joined afterwards by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally?
Solution
Let B joined for x months. A's investment duration = 12 months. Ratio of Profit = (Investment × Time) A : B = (21000 × 12) : (36000 × x) Given profits are equal (1:1). 21000 × 12 = 36000 × x 252 = 36x x = 7. B invested for 7 months. Question asks "After how many months did B join": 12 - 7 = 5 months.
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