Question
Wheat worth Rs. 25/kg and Rs. 40/kg are mixed with a third
variety in the ratio 1:2:1 respectively. If the final mixture is worth Rs. 35/kg, then the price of the third variety of wheat is:Solution
Let the quantity of three varieties of wheat in the new mixture be ‘x’ kg, ‘2x’ kg, and ‘x’ kg respectively
Let the price of the third variety of wheat be Rs. ‘y’/kg
ATQ:
(25 × x) + (40 × 2x) + (y × x) = 35 × (x + 2x + x)
Or, 25x + 80x + xy = 35 × 4x
Or, 105x + xy = 140x
Or, xy = 35x
Or, y = 35
So, the price of the third variety of wheat = Rs. 35/kg
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