In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%?
Selling price = 42/kg and profit % = 20%
=> Cost price = $$42\times\frac{100}{(100+120)}$$
= $$42\times\frac{5}{6}=Rs.$$ $$35$$
Let the quantity in which Rs. 30/kg sugar is mixed be $$x$$ kg and Rs. 45/kg sugar is mixed = $$y$$ kg
According to ques,
=> $$30x+45y=35(x+y)$$
=> $$6x+9y=7x+7y$$
=> $$7x-6x=9y-7y$$
=> $$x=2y$$
=> $$\frac{x}{y}=\frac{2}{1}$$
=> Ans - (A)
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