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Kulbhushan started a juice (syrup + water) counter. Initially, he had 140 litres of juice which had 40% water in it. He sold 30
litres of the juice. Then he added equal amounts of of syrup and water. Now the ratio of water to syrup became 3:4. What
quantity of water was added?
24 litres
28 litres
26 litres
22 litres
- Kulbhushan starts with 140 litres of juice that has 40% water.
- This means he has 0.4×140=56 litres of water and 84 litres of syrup.
- He sells 30 litres of this juice.
- Therefore, the remaining juice equals 110 litres.
- The remaining water: (56/140)×110=44 litres.
- The remaining syrup: (84/140)×110=66 litres.
- An equal amount of syrup and water is added, and the water-to-syrup ratio becomes 3:4.
- Let x be the quantity of water, also x syrup is added.
- New water quantity = 44 + x
- New syrup quantity = 66 + x
- Given ratio: (44+x)/(66+x)=3/4
- Solving for x,
4(44+x)=3(66+x)
176+4x=198+3x
x=22
- Correct Answer: Option 4 - 22 litres
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