Question : Two blends of a commodity, costing Rs. 35 and Rs. 40 per kg, respectively, are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining, at the rate of Rs. 55 per kg, the profit percentage is:
Option 1: 50
Option 2: 30
Option 3: 40
Option 4: 20
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Correct Answer: 40
Solution :
Given:
Two blends of a commodity costing Rs. 35 and Rs. 40 per kg are mixed in the ratio 2 : 3 by weight.
Let the first blend be 2 kg and the second blend be 3 kg.
Total cost price = $(35×2)+(40×3)$ = $70+120$ = $190$
One-fifth of the mixture is sold at Rs. 46 per kg and the rest at Rs. 55 per kg.
So, the total selling price = $(1 × 46) + (4×55)$ = $266$
Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100$
= $\frac{266-190}{190}×100$
= $\frac{76}{190}×100$
= $40\%$
Hence, the correct answer is 40
.
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