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
Started 3 months ago by Shashank in
Explanatory Answer
Let Tea A and B be sold at Rs.a and Rs.b respectively
When A and B are mixed in the ratio 3 : 2 and sold at a profit of 10% at Rs.40 per Kg
3a+2b / 5 = 40/1.1------(1)
When A and B are mixed in the ratio 2 : 3 and sold at a profit of 5% at Rs.40 per Kg
2a+3b/5 = 40/1.05 ------(2)
Solving equations (1) and (2), we get
1.1 × (3a+2b/5) = 1.05 × (2a+3b/5)
11/10 × (3a + 2b) = 21/20 × (2a + 3b)
66a + 44b = 42a + 63b
24a = 19b
a/b = 19/24
So, the cost prices per Kg of A and B are in the ratio 19 : 24
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