Question
Ashish started a business by investing Rs. 1400. Few
months later; Ramesh joined him by investing Rs. 1600 such that at the end of the year, the profit share of Ashish was 5% more than that of Ramesh. How many months after Ashish did Ramesh join the business?Solution
Let the number of months for which Ramesh invested his money = ‘Y’ months Ratio of profit shares of Ashish and Ramesh = (1400 × 12):(1600 × Y) = 16800:1600Y = 21:2Y Let profit share of Ramesh be Rs. ‘100a’ So, profit share of Ashish = 1.05 × 100a = Rs. ‘105a’ ATQ; (21/2Y) = (105a/100a) So, Y = 10 Therefore, Ramesh joined the business (12 – Y) = 2 months after Ashish.
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