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
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.4. What is the probability of choosing a vowel from the word Mississippi?