Question
‘V’ invested Rs. 5400 for (u + 7) months, while
‘W’ invested Rs. 800 more than ‘V’ for (u - 2) months, in a business. If profit received by ‘W’ out of total profit of Rs. 8700 is Rs. 3300, then find the value of ‘u’.(Calculate approx. value)Solution
ATQ, Ratio of profit received by ‘V’ and ‘W’ = {5400 × (u + 7)}:{6200 × (u - 2)} = (8700 – 3300)/3300 Or, (5400u + 37800):(6200u - 12400) = 5400/3300 Or, (18u + 126):(20.67u - 41.33) = 9/5.5 Or, 99u + 693 = 113.685u - 226.315 Or, 919.315 = 14.685u Or, u = 919.315/14.685 = 62.6 (approximately 63)
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