Question

2. In what proportion can three varieties of sugar priced
at 10 per kg, 12 per kg and 18 per kg, be mixed
so that the price of the mixture is 14 per kg?
​

Answer 1

$Question :$

1) How do I find the proportion in which three types of sugar at Rs 12, Rs 14, and Rs 20 per kg may be mixed, so as to obtain a mixture worth Rs 15 per kg?

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$Solution :$

Let

Sugar A be of Rs 12 per kg

Sugar B be of Rs 14 per kg

Sugar C be of Rs 20 per kg

From given data we can say

Sugar A is (1/12)kg per one rupee

Sugar B is (1/14)kg per one rupee

Sugar C is (1/20)kg per one rupee

Add mixture of all sugars of worth 5 rupees each

Sugar A of Rs 5 = 5/12 kg = 0.4167 kg

Sugar B of Rs 5 = 5/14 kg = 0.357 kg

Sugar C of Rs 5 = 5/20 kg = 0.25 kg

Total = 1.0237 kg

So in Rs 15 you'll get = 1.0237 kg of sugar

In this mixture we have

Sugar A = (0.4167/1.0237) × 100 = 40.7%

Sugar B = (0.357/1.0237) × 100 = 34.87%

Sugar C = (0.25/1.0237) × 100 = 24.42%