Question 57

The ratio in which a man must mix rice at 10.20 per kg and 14.40 per kg so as to make a mixture worth 12.60 per kg, is

Solution

Quantity in which man use rice at Rs. 10.20/kg = $$x$$ kg and at Rs. 14.40/kg = $$y$$ kg

According to ques,

=> $$10.20x+14.40y=12.60(x+y)$$

=> $$102x+144y=126x+126y$$

=> $$126x-102x=144y-126y$$

=> $$24x=18y$$

=> $$\frac{x}{y}=\frac{18}{24}=\frac{3}{4}$$

$$\therefore$$ he ratio in which a man must mix rice at 10.20 per kg and 14.40 per kg so as to make a mixture worth 12.60 per kg = $$3:4$$

=> Ans - (A)

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