Question
Ashish started a business by investing Rs. 7700. Few
months later; Ramesh joined him by investing Rs. 8000 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 = (7700 Γ 12):(8000 Γ Y) = 92400:8000Y = 231:20Y Let profit share of Ramesh be Rs. β100aβ So, profit share of Ashish = 1.05 Γ 100a = Rs. β105aβ ATQ; (231/20Y) = (105a/100a) So, Y = 11 Therefore, Ramesh joined the business (12 β Y) = 1 months after Ashish.
Simplify
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