The milk and water in a mixture are in the ratio of 7 : 5. When 15 litres of water are 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:
Answer & explanation
Correct answer: option 2
The ratio of Milk and Water = 7 : 5
When 15 litres of water added, the ratio becomes 7 : 8.
The initial ratio of milk and water = 7x : 5x
When 15 litres of water added
⇒ \(\frac{(7x)}{( 5x + 15)}\) = 7 : 8
⇒ 56x = 35x + 105
⇒ 21x = 105
⇒ x = 5
Quantity of water in new mixture
⇒ 8 × 5 = 40
∴ The quantity of water in new mixture is 40 litres.