Multiple choice

Pure Ghee costs Rs. 100 per kg. After adulterating it with vegetable oil costing Rs. 50 per kg. A shopkeeper sells the mixture at Rs. 96 per kg. Thereby making a profit of 20%. In what ratio does be mix the two?

  1. 1:2

  2. 3:2

  3. 3:1

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

A selling price of Rs. 96 at a 20% profit gives a mixture cost price of 96/1.2 = Rs. 80 per kg. By alligation, the ratio of ghee to oil is (80 - 50):(100 - 80) = 30:20 = 3:2.

AI explanation

First find the cost price of the mixture by dividing the selling price of Rs. 96 by 1.20 to get Rs. 80 per kg. Apply the rule of alligation by subtracting the cost price from the prices of the individual components, which yields Rs. 100 minus Rs. 80 and Rs. 80 minus Rs. 50. The ratio of the quantities is the reverse of these differences, giving 30 to 20, which simplifies to 3:2.

Keep practicing — related questions