Question
Three friends A, B and C entered into partnership by
investing Rs. 15X, Rs. (3X + 26) and Rs. (1000 – 6X) 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 5 : 4 : 247 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 = 15X × 4a : (3X + 26) × 3a : (1000 – 6X) × 6a
ATQ,
(15X × 4a)/((3X + 26) × 3a) = 5/4
=> (60X)/(9X + 78) = 5/4
4 × 60X = 5(9X + 78)
240X = 45X + 390
195X = 390
X = 2
Required value = 20 × 2 = 40
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