Question
Ashish started a business by investing Rs. 4900. Few
months later; Ramesh joined him by investing Rs. 5600 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 = βYβ months Ratio of profit shares of Ashish and Ramesh = (4900 Γ 12):(5600 Γ Y) = 58800:5600Y = 21:2Y Let profit share of Ramesh be Rs. β100aβ So, profit share of Ashish = 1.05 Γ 100a = Rs. β105aβ ATQ; (21/2Y) = (105a/100a) So, Y = 10 Therefore, Ramesh joined the business (12 β Y) = 2 months after Ashish.
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