Multiple choice

In what ratio should tea of first kind, costing Rs. 640 per kg, be mixed with tea of second kind, costing Rs. 500 per kg, so that the mixture gives a profit of 20% when sold at Rs. 648 per kg?

  1. First kind : Second kind = 1 : 2

  2. First kind : Second kind = 2 : 3

  3. First kind : Second kind = 3 : 2

  4. First kind : Second kind = 2 : 5

  5. First kind : Second kind = 4 : 5
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Selling price = 648, profit = 20%. Cost price of mixture = 648 / 1.2 = 540. Using alligation: (640 - 540) / (540 - 500) = 100 / 40 = 2.5 = 5/2. The ratio is 2:5.

AI explanation

First, find the cost price of the mixture by dividing the selling price of Rs. 648 by 1.2, which gives a cost price of Rs. 540 per kg. Using the rule of alligation, the ratio of the first kind to the second kind is the difference between the second kind's price and the mean price, divided by the difference between the mean price and the first kind's price. This calculates to (540 minus 500) divided by (640 minus 540), which is 40 divided by 100, simplifying to a 2 to 5 ratio.

Keep practicing — related questions