Question
A jar contains a mixture of 2 liquids P and Q in the
ratio 4:1. When 10 litres of the mixture is taken out and 10 litres of the liquid Q is poured into the jar, the ratio becomes 2:3. How many litres of the liquid P was contained in the Jar?Solution
Let total quantity of the mixture be x litres.
P = 4x/5 & Q = 1x/5
When 10 litres is removed (in 4:1 ratio), we remove:
P = 8 litres & Q = 2 litres
So remaining: P = (4x/5) −8 & Q = (1x/5) − 2
Then, 10 litres of Q is added:
New Q = 1x/5 – 2 + 10 = 1x/5 + 8
Now, new ratio is: P/Q = 2/3
So: {4x/5 – 8}/{1x/5 + 8} = 2/3
x = 20
So total mixture = 20 litres.
Amount of P = 4/5 × 20 = 16 litres
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