Iift 2020 Question 18
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IIFT
Let the mixture so created to be sold was exactly one kg.
Hence, amount of first variety procured to contribute to this mixture = (2/5)*1000 = 400gm or 0.4 kg
Hence, amount of second variety procured to contribute to this mixture = (3/5)*1000 = 600gm or 0.6 kg
Let the cost price of second variety = Rs. a/kg and hence, cost price of first variety = Rs. 2a / kg
Hence, cost price of the entire mixture = 0.6a + 0.4*2a = 1.4a rupees / kg
Also, the mixture is sold at Rs. 28 per kg and it means a profit of 25% ==> CP per kg = Rs. (28/1.25) per kg
Equating both, we get a = 16, hence, price of the first variety = 32 rupees per kg