Discussion
A mixture consists of some amount of sandalwood oil and 240 litres of water. It is priced at Rs. 275 per litre. Sandalwood oil is priced Rs. 325 per litre. 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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