Question
βVβ invested Rs. 5400 for (u + 7) months, while
βWβ invested Rs. 800 more than βVβ for (u - 2) months, in a business. If profit received by βWβ out of total profit of Rs. 8700 is Rs. 3300, then find the value of βuβ.(Calculate approx. value)Solution
ATQ, Ratio of profit received by βVβ and βWβ = {5400 Γ (u + 7)}:{6200 Γ (u - 2)} = (8700 β 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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