Question
M and N started a business. M invested Rs. 1600 and N
invested Rs. ‘t’. N withdrew after 6 months. If M received Rs. 5000 out of the total annual profit of Rs. 7500, find the amount invested by N.Solution
ATQ,
Investment ratio = 1600 : t
Profit ratio = (1600 × 12) : (t × 6) = 19200 : 6t = 3200 : t
(3200 / (3200 + t)) × 7500 = 5000
(3200 / (3200 + t)) = 2 / 3
3200 × 3 = 2(3200 + t)
9600 = 6400 + 2t
2t = 3200
t = 1600
So, the value of ‘t’ is Rs. 1600
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