Rehman blended 24 kg of butter priced at Rs. 150 per kg with 36 kg priced at Rs. 125 per kg. At what rate per kg should he sell the mixture to achieve a 40% profit?
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Answer: C. Rs. 189
Explanation
Multiplying twenty-four kg by one hundred fifty gives a total cost of thirty-six hundred for the first butter batch. Multiplying thirty-six kg by one hundred twenty-five gives forty-five hundred for the second batch, resulting in an aggregate cost of eighty-one hundred for sixty total kg. Adding a forty percent profit markup to the average cost per kg yields a final selling rate of one hundred eighty-nine. Mixture problems require calculating the total weighted cost of combined ingredients before applying any commercial markup. Profit markups are calculated by multiplying the base cost price by one plus the decimal profit percentage. Unit rates for blended goods are found by dividing total combined costs by total combined physical weight.
Option A fails to account for the full forty percent profit markup required by the problem statement. Option B underestimates the blended cost price adjustments needed for the heavier second batch. Option D overestimates the required selling price beyond the calculated forty percent margin.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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