Question
Three friends A, B and C entered into partnership by
investing Rs. 25X, Rs. (5X + 20) and Rs. (100 – 2X) respectively. The ratio of the time period of A, B and C is 4 : 3 : 6 respectively. If the profit-sharing ratio of A, B and C is 100 : 75 : 588 respectively, then find the value of 20X.Solution
Let the time period of A, B and C be 4a, 3a and 6a respectively.
Profit sharing ratio of A, B and C = 25X × 4a : (5X + 20) × 3a : (100 – 2X) × 6a
ATQ,
(25X × 4a)/((5X + 20) × 3a) = 100/75
=> (100X)/(15X + 60) = 100/75
75 × 100X = 100(15X + 60)
7500X = 1500X + 6000
6000X = 6000
X = 1
Required value = 20 × 1 = 20
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