Question
Pawan and Qureshi initiated a business with investments
of Rs. 20,800 and Rs. 16,000, respectively. After 't' months, Rinku joined them with an investment that was 25% greater than Pawan's. If the profit share ratio between Qureshi and Rinku at the end of 1.5 years is 12:13, what is the value of 't'?Solution
ATQ Ratio of profit shares of 'Pawan' 'Qureshi' and 'Rinku', at the end of 1.5 years: = (20,800 X 18) :(16,000 X 18) :[20,800 X 1.25 X (18 - t) ] (1.5 years = 18 months) = 3744:2880:[260 X (18 - t) ] ATQ, {2880/[260 x (18 - t)]} = (12/13) 2880= 240 x (18 - t) 18-t = (2880/24) 18 - t = 12 t = 18-12 = 6 Therefore, the required value of 't' is 6
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