Question 26

In what proportion must a grocer mix sugar at Rs.12 a kg and Rs.7 a kg so as to make a mixture worth Rs.8 a kg ?

solution

using Alligation 

required proportion is 1:4

alternatively

$$\frac{12(x)+7(y) }{x+y}$$ = 8

12x +7y = 8x+8y = 4x= y 

$$\frac{x}{y}$$ = $$\frac{1}{4}$$

hence 1:4

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