Two wheat cultivars – A and B valued at Rs. 9 per kg and Rs. 15 per kg were blended in a 3 : 7 proportion. If 5 kg of this blend is vended at a 25% margin, compute the financial gain earned?
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Answer: D. Rs. 16.50
Explanation
Blending three parts of wheat valued at nine rupees and seven parts at fifteen rupees gives a weighted average cost of thirteen point twenty rupees. Multiplying the average cost per kilogram by the five kilogram total blend quantity yields a total cost price of sixty six rupees. Vending the blend at a twenty five percent profit margin yields a selling price of eighty two point fifty rupees, giving a financial gain of sixteen point fifty. Weighted average formulas calculate the combined unit cost of blended materials based on their proportionate quantities. Profit margins represent an added percentage value calculated on top of the total acquisition cost of goods. Commercial blending problems require finding intermediate cost prices before calculating final retail revenues and gains.
Rs. 13.50 underestimates the financial gain earned by miscalculating the total revenue from the five kilogram blend. Rs. 14.50 contains a slight arithmetic error in the profit margin calculation step applied to the total cost. Rs. 15.50 is close but fails to match the exact decimal result derived from the weighted average cost equation.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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