Question
Aman, Bittu, and Ramesh initiated a business with
investments of Rs. 4,000, Rs. 4,500, and Rs. 6,000, respectively. Ramesh invested for 2 months longer than Bittu, and Aman invested for 2 months less than Bittu. The profit share of Ramesh exceeded that of Aman by 110%. Determine the number of months for which Bittu invested.Solution
ATQ, Let the number of months for which 'Aman' invested = 'a' Then, number of months for which 'Ramesh' invested = a + 2 + 2 = (a + 4) months So, ratio of profit shares of 'Aman' and 'Ramesh' respectively = (4000 × a):{6000 × (a + 4)} = 100:210 Or, (4000a):{6000a + 24000} = 10:21 Or, 400a × 21 = 6000a + 24000 Or, 2400a = 24000 So, a = 10 And so, number of months for which 'Bittu' invested = a + 2 = 12 months.
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