Question
A invests half of the amount invested by B. B left after
4 months. C joins them with the capital of X Rs in a month after B had withdrawn from the business. At the end of the year A and C share same amount of profit. If capital of B is Rs.2200 then which of the following can be the capital of the C? i) 2200 ii) 2640 iii) 4400 iv) 6600 v) 3200Solution
B invested = Rs. 2200 So, A invested = ½ of 2200 = Rs.1100 Let C invested Rs.x for T time. So ratio of profit of A, B & C = 1100 × 12 : 2200 × 4 : x × T Now As profit of A & C are equal, 1100 × 12 = x × T As T can be less than 8 months so it can be any number from 1 to 7. For T=1, x = 13200 For T=2, x = 6600 For T=3, x = 4400 For T=4, x = 3300 For T=5, x = 2640 For T=6, x = 2200 For T=7, x = 1885.71 Hence answer is (i), (ii), (iii) and (iv).
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