Question
Download Solution PDFThere are two types of rice. Type 1 rice costs ₹20 per kg and type 2 rice costs ₹25 per kg. Both the rice are mixed in the ratio 2 : 3. Find the cost (in ₹) of the mixed rice per kg.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost of Type 1 rice = ₹20 per kg
Cost of Type 2 rice = ₹25 per kg
Ratio of Type 1 rice to Type 2 rice = 2:3
Formula used:
Cost of mixed rice per kg = \(\frac{(Cost\ of\ Type\ 1\ rice \times Quantity\ of\ Type\ 1) + (Cost\ of\ Type\ 2\ rice \times Quantity\ of\ Type\ 2)}{Total\ Quantity}\)
Calculation:
Let the quantity of Type 1 rice be 2x kg and the quantity of Type 2 rice be 3x kg.
Total quantity = 2x + 3x = 5x
Cost of mixed rice per kg
⇒ \(\frac{(20 \times 2x) + (25 \times 3x)}{5x}\)
⇒ \(\frac{40x + 75x}{5x}\)
⇒ \(\frac{115x}{5x}\)
⇒ 23
∴ The correct answer is option (1).
Last updated on Jun 3, 2025
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