Question
Sugar worth Rs. 30/kg and Rs. 45/kg are mixed with a
third variety in the ratio 3:2:1 respectively. If the final mixture is worth Rs. 38/kg, then the price of the third variety of sugar is:Solution
Let the quantity of three varieties of sugar in the new mixture be ‘3x’ kg, ‘2x’ kg, and ‘x’ kg respectively
Let the price of the third variety of sugar be Rs. ‘y’/kg
ATQ:
(30 × 3x) + (45 × 2x) + (y × x) = 38 × (3x + 2x + x)
Or, 90x + 90x + xy = 38 × 6x
Or, 180x + xy = 228x
Or, xy = 48x
Or, y = 48
So, the price of the third variety of sugar = Rs. 48/kg
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