Question
A began business with Rs. 2100 and is joined
afterwards by B with Rs. 3600. When did B join, if the profits at the end of the year are divided equally?Solution
Let B joined after x months. A's investment of Rs. 2100 for 12 monts = 2100 × 12 . B's investment of Rs. 3600 for (12-x) months = 3600 (12-x) months They got equal profits. So 2100 × 12 = 3600 (12-x) OR 2100 × 12 = 3600 × 12-3600x 3600 x = (3600-2100) × 12 3600 x = 1500 × 12 So x = 5 Hence B joined after 5 months
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