Question
Three friends A, B and C entered into partnership by
investing Rs. 50X, Rs. (10X + 1250) and Rs. (7000 – 15X) 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 20 : 18 : 159 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 = 50X × 4a : (10X + 1250) × 3a : (7000 – 15X) × 6a
ATQ,
(50X × 4a)/((10X + 1250) × 3a) = 20/18
=> (200X)/(30X + 3750) = 20/18
18 × 200X = 20(30X + 3750)
3600X = 600X + 75000
3000X = 75000
X = 25
Required value = 20 × 25 = 500
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