In 65 litres of a mixture of kerosene and petrol, the ratio of kerosene to petrol is 3 : 2. In order to make this ratio 4 : 5, how many litres of petrol should be added to the given mixture?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 22.75.
The quantity of the mixture = 65 liters
The quantity of kerosene = 65 × 3/5 = 13 × 3 = 39
The quantity of petrol = 65 × 2/5 = 13 × 2 = 26
Now, according to to the question
Let, x liter of petrol should be added
⇒ (39)/(26 + x) = 4/5
⇒ (39 × 5) = 4(26 + x)
⇒ 195 = 104 + 4x
⇒ 4x = 91
⇒ x = 22.75