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 AlligationÂ
required proportion is 1:4
alternatively
$$\frac{12(x)+7(y)Â }{x+y}$$ = 8
12x +7y = 8x+8y = 4x= yÂ
$$\frac{x}{y}$$ =Â $$\frac{1}{4}$$
hence 1:4
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