Two varieties of milk with different prices is mixed in the ratio 2 : 3. The price of 1st type of milk is Rs 10 per litre while the price of 2nd type of milk is Rs. 15 per litre. The average price of the mixture.
Two varieties of milk with different prices is mixed in the ratio 2 : 3. The price of 1st type of milk is Rs 10 per litre while the price of 2nd type of milk is Rs. 15 per litre. The average price of the mixture.
ARs. 11 per litre
BRs. 12 per litre
CRs. 13 per litre
DRs. 14 per litre
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Correct Answer: Rs. 13 per litre
Explanation:
The mixture is made in the ratio 2:3, meaning for every 2 parts of the first milk, there are 3 parts of the second milk. The total number of parts is 2 + 3 = 5 parts.
Steps:
- The cost contributed by the first milk (Rs. 10 per litre) is calculated as: \( \frac{2}{5} \times 10 = 4 \)
- The cost contributed by the second milk (Rs. 15 per litre) is calculated as: \( \frac{3}{5} \times 15 = 9 \)
- Add the contributions from both milks to get the total cost: \( 4 + 9 = 13 \)
Therefore, the average price of the mixture is Rs. 13 per litre.
Final Answer: \(\boxed{13}\)
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