CAT 2018 Slot 1 QA Question 26: Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are i

Question

Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are i

Accepted Answer

Let the cost prices per kg of A and B be a and b respectively.
When A : B = 3 : 2, the cost price per kg of the mixture is
$\dfrac{40}{1.1} = \dfrac{400}{11}$
$\dfrac{3a + 2b}{5} = \dfrac{400}{11}$
$3a + 2b = \dfrac{2000}{11}$
When A : B = 2 : 3, the cost price per kg of the mixture is
$\dfrac{40}{

Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are in the ratio