Discussion
A mixture consists of some amount of sandalwood oil and 240 liters of water. It is priced at Rs. 275 per liter. Sandalwood oil is priced Rs. 325 per liter. How much oil is there in the mixture?
Answer: C
The water contributes nothing to the value, so all the worth comes from the oil.
\[ 325x = 275(x + 240) \]
\[ 325x = 275x + 66{,}000 \]
\[ 50x = 66{,}000 \quad\Longrightarrow\quad x = 1320 \text{ litres} \]
By alligation, water is priced at 0 and \( \tfrac{\text{oil}}{\text{water}} = \tfrac{275-0}{325-275} = \tfrac{275}{50} = 5.5 \), and \( 5.5 \times 240 = 1320 \).
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