Question
In a partnership, A and B invested Rs. (x + 1000) and Rs. (x – 600) for 4 months and 6 months respectively. Out of a total profit of Rs. 8400, A received Rs. 5600. Find the value of
x.
Solution
ATQ,
B's share = 8400 – 5600 = Rs. 2800
So, {(x + 1000) × 4}:{(x – 600) × 6} = 5600:2800
Or, 16(x + 1000) = 12(x – 600)
Or, 16x + 16000 = 12x – 7200
Or, 4x = 23200
Or, x = 5800
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