Question 111

In what ratio wheat at Rs 32/kg should be mixed with wheat at Rs 24/kg so that on selling the mixture at Rs 39/kg there is a profit of 30%?

Solution

Selling price of mixture after 30% profit = Rs. 39/kg

=> Cost price of mixture = $$39\times\frac{100}{130}=Rs.$$ $$30$$ per kg

Let ratio in which wheat at Rs 32/kg should be mixed with wheat at Rs 24/kg = $$x:y$$

According to ques,

=> $$32x+24y=30(x+y)$$

=> $$32x+24y=30x+30y$$

=> $$32x-30x=30y-24y$$

=> $$2x=6y$$

=> $$\frac{x}{y}=\frac{6}{2}=\frac{3}{1}$$

$$\therefore$$ Ratio in which wheat at Rs 32/kg should be mixed with wheat at Rs 24/kg = 3 : 1

=> Ans - (A)


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