Question 30

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%?

Solution

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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