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 in the ratio

a)17: 25
b)18: 25
c)19: 24
d)21: 25

Answer 1

The cost prices per kg of types A and B teas are in the ratio 17:25. The correct answer is option a).

Step-by-step explanation:

Let the cost price of type A tea per kg be 'x' and the cost price of type B tea per kg be 'y'.

According to the given information, when A and B are mixed in the ratio 3:2, the profit is 10%. This means that the selling price is 110% of the cost price. So, the selling price per kg is 1.1(x+y).

Similarly, when A and B are mixed in the ratio 2:3, the profit is 5%. This means that the selling price is 105% of the cost price. So, the selling price per kg is 1.05(x+y).

From the above two equations, we can set up the following system of equations:

1.1(x+y) = 40

1.05(x+y) = 40

Solving the system of equations, we get x:y = 17:25.

Therefore, the cost prices per kg of A and B are in the ratio 17:25.