Multiple choice

A shopkeeper bought two different qualities of rice with a price of Rs. 20 per kg and Rs. 30 per kg. Now he wants to sell the mixture at a rate of Rs. 27/kg and gain a profit of Rs. 2/kg. What will be the ratio of the dearer quality to cheaper quality in the mixture?

  1. 2 : 1

  2. 1 : 1

  3. 2 : 3

  4. 3 : 2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Selling price is Rs. 27/kg with profit of Rs. 2/kg, so cost price = Rs. 25/kg. Let the ratio of Rs. 30/kg (dearer) to Rs. 20/kg (cheaper) rice be x:y. Using alligation: (30 - 25)/(25 - 20) = 5/5 = 1/1. Therefore the ratio of dearer to cheaper quality is 1:1, meaning equal quantities of both types.

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