Question
Three friends A, B and C entered into partnership by
investing Rs. 10X, Rs. (2X + 62) and Rs. (2000 – 5X) 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 12 : 8 : 391 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 = 10X × 4a : (2X + 62) × 3a : (2000 – 5X) × 6a
ATQ,
(10X × 4a)/((2X + 62) × 3a) = 12/8
=> (40X)/(6X + 186) = 12/8
8 × 40X = 12(6X + 186)
320X = 72X + 2232
248X = 2232
X = 9
Required value = 20 × 9 = 180
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