Question
Akash and Bheem started a business together with
investments of Rs. 2400 and Rs. 3600, respectively. After four months, Chetna joined them with investment of Rs. βpβ. If the profit earned by Akash after one year is Rs. 600 out of the total profit of Rs. 1700, then find the value of βpβ.Solution
ATQ,
Ratio of investments of Akash : Bheem : Chetna = 2400 : 3600 : p
Ratio of profit share of Akash : Bheem : Chetna = (2400 Γ 12) : (3600 Γ 12) : (p Γ 8)= 28800 : 43200 : 8p= 3600 : 5400 : p
So, [3600 / (3600 + 5400 + p)] = 600 / 1700
9000 + p = 10200
p = 1200
So, the value of βpβ is Rs. 1200
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