Discussion
Ramesh mixes 60 litres of Type-1 acid with some litres of Type-2 acid. Type-1 acid rate is Rs. 32 per litre while Type-2 rate is Rs. 23 per litre. Ramesh sells this acid-mix at rate Rs. 28 per litre. How much Type-2 acid is needed to make it a no profit no loss transaction?
Answer: A
No profit and no loss means the total cost equals the total revenue.
\[ 32(60) + 23x = 28(60 + x) \]
\[ 1920 + 23x = 1680 + 28x \]
\[ 240 = 5x \quad\Longrightarrow\quad x = 48 \text{ litres} \]
By alligation the same result follows from \( \tfrac{60}{x} = \tfrac{28-23}{32-28} = \tfrac{5}{4} \).
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