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A shopkeeper sells mixture of chemical and water. A mixture of 90 litres contains chemical and water in the ratio of 4 : 5. When some same quantity of water and chemical added into the mixture then their ratio becomes 11 : 13. The quantity of water in the new mixture is what percent of total quantity of new mixture?
1. 40%
2. 54%
3. 44%
4. 48%
5. 50%

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Correct Answer - Option 2 : 54%

Given:

⇒ Quantity of chemical in mixture = 90 × 4/9 = 40 litres

⇒ Quantity of water in mixture = 90 - 40 = 50 litres

Let quantity of chemical and water added in to the mixture be a litres.

⇒ (40 + a)/(50 + a) = 11 : 13

⇒ 520 + 13a = 550 + 11a

⇒ a = 15

⇒ Quantity of water in new mixture = 50 + 15 = 65 litres

⇒ Total quantity of new mixture = 90 + 15 + 15 = 120 litres

∴ Required percentage = 65/120 × 100 = 54.166 ≈ 54%

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