Multiple choice

In what proportion must some tea at Rs. 60 per kg. be mixed with another tea at Rs. 65 per kg. so that the new mixture is sold at Rs. 68.2 per kg. at a profit of 10%?

  1. 2:3

  2. 3:2

  3. 4:3

  4. 5:7

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Selling price Rs. 68.2 at 10% profit means cost price = 68.2÷1.1 = Rs. 62. Using alligation: Rs. 60 and Rs. 65 must mix to get Rs. 62 average. The differences are (65-62)=3 and (62-60)=2, giving ratio 3:2. This means 3 parts of Rs. 60 tea and 2 parts of Rs. 65 tea - so ratio 3:2 is correct.