Question
‘P’ invested Rs. 5000 for (y + 3) months, while
‘Q’ invested Rs. 1500 more than ‘P’ for (y - 1) months, in a business. If profit received by ‘Q’ out of total profit of Rs. 8400 is Rs. 3200, then find the value of ‘y’.(Can calculate approx. value)Solution
ATQ, Ratio of profit received by ‘P’ and ‘Q’ = {5000 × (y + 3)}:{6500 × (y - 1)} = (8400 – 3200)/3200 Or, (5000y + 15000):(6500y - 6500) = 5200/3200 Or, (25y + 75)/(32.5y - 32.5) = 13/8 Or, 200y + 600 = 260y - 260 Or, 860 = 60y Or, y = 860/60 = 14.33 (approximately 14)
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