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Sunil started a juice (lemon syrup + water) counter. Initially he had 140 liter juice which had 30% water in it. He sold 20 liters of the juice. Then he added equal amount of lemon syrup and water. Now the ratio of water to lemon syrup became 1:2. How much water was added later on?

  • A.9 liters
  • B.12 liters
  • C.14 liters
  • D.20 liters

Answer: B

Start from the composition and follow each step.

\[ \text{water} = 30\% \times 140 = 42 \text{ L}, \qquad \text{syrup} = 98 \text{ L} \]

Selling 20 L removes both in proportion, leaving 120 L:

\[ \text{water} = 36, \qquad \text{syrup} = 84 \]

Adding \( x \) of each and requiring water : syrup \( = 1 : 2 \):

\[ 2(36 + x) = 84 + x \quad\Longrightarrow\quad 72 + 2x = 84 + x \]

\[ x = 12 \text{ litres} \]

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