Question
Oil worth Rs. 50/litre and Rs. 60/litre are mixed with a
third variety in the ratio 4:3:1 respectively. If the final mixture is worth Rs. 54/litre, then the price of the third variety of oil is:Solution
Let the quantity of three varieties of oil in the new mixture be β4xβ litres, β3xβ litres, and βxβ litre respectively
Let the price of the third variety of oil be Rs. βyβ/litre
ATQ:
(50 Γ 4x) + (60 Γ 3x) + (y Γ x) = 54 Γ (4x + 3x + x)
Or, 200x + 180x + xy = 54 Γ 8x
Or, 380x + xy = 432x
Or, xy = 52x
Or, y = 52
So, the price of the third variety of oil = Rs. 52/litre
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