how much of high-grade priced at INR 600/kg should be mixed with 200 kg of ordinary coat priced at INR 450/kg so as to make a profit of 10% by selling the mixture at INR 550/kg
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Answer:
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Step-by-step explanation:
For example
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
21 : 25
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+2b5 = 401.1 ------(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+3b5 = 401.05 ------(2)
Solving equations (1) and (2), we get
1.1 × (3a+2b5) = 1.05 × (2a+3b5)
1110 × (3a + 2b) = 2120 × (2a + 3b)
66a + 44b = 42a + 63b
24a = 19b
ab = 1924
So, the cost prices per Kg of A and B are in the ratio 19 : 24