In a mixture, ink and water are in the ratio of 8 : 5. If 24 litres of water is added to the mixture, then the new ratio becomes 8 : 11. What is the total quantity (in litres) of water in the new mixture?
1). 40
2). 42
3). 44
4). 48
Let the initial quantity of ink and water in the mixture be 8a and 5a respectively
When 24 litres of water is added to the mixture, then the new ratio becomes 8 : 11
⇒ [8a/(24 + 5a)] = 8/11
⇒ (8a × 11) = 8 × (24 + 5a)
⇒ 88a = 192 + 40a
⇒ 88a - 40a = 192
⇒ 48a = 192
⇒ a = (192/48) = 4
∴ Quantity of water in the new mixture = (5 × 4) + 24 = 44