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The milk and water in a mixture are in the ratio 7 ∶ 5. When 15 liters of water is added to it, the ratio of milk and water in the new mixture becomes 7 ∶ 8. The total quantity of water in the new mixture is

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The milk and water in a mixture are in the ratio 7 ∶ 5. When 15 liters of water is added to it, the ratio of milk and water in the new mixture becomes 7 ∶ 8. The total quantity of water in the new mixture is
1). 35 litres
2). 40 litres 
3). 60 litres
4). 96 litres 


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Answered by on | Votes 3 |

Suppose initially mixture contains 7m and 5m milk and water respectively.

Quantity of water left in mixture = 5m + 15

$(\Rightarrow \frac{{7m}}{{5m + 15}} = \frac{7}{8})$

⇒ 56m = 35m + 105

⇒ 21m = 105

⇒ m = 5

∴ Quantity of water in mixture = 5m + 15 = 5 × 5 + 15 = 40 lit.

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