Question
‘P’ and ‘Q’ invested Rs. (x + 300) and Rs. (x
– 500) respectively in a business for 2 months and 4 months. If P’s share of the profit is Rs. 7200 out of a total profit of Rs. 12000, find the value of x.Solution
P's investment = (x + 300) for 2 months → 2(x + 300) = 2x + 600 Q's investment = (x - 500) for 4 months → 4(x - 500) = 4x - 2000 Profit ratio (P : Q) = 7200 : 4800 = 3 : 2 So, (2x + 600) / (4x - 2000) = 3 / 2 Cross-multiplying: 2(2x + 600) = 3(4x - 2000) 4x + 1200 = 12x - 6000 1200 + 6000 = 12x - 4x 7200 = 8x x = 7200 / 8 x = 900
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