Question

"3. Jar A and Jar B both contain mixture of milk and water Jar A has 80 litres of
mixture, out of which 20% is water. The mixture in Jar B has 40% water. The
mixture from both the jars is poured in an empty Jar C. The resultant respedive
ratio between milk and water in Jar C is 5:2. What is the quantity of milk in Jar C
? (in litres)
1) 110
2) 100 3) 120
4) 130
5) 105​

Answer 1

The quantity of milk in jar C = 100 litre

Step-by-step explanation:

It is given that,

• In jar A,

• water =$80 \times \frac{20}{100}$= 16 liter

• This is the quantity of water in Jar A.

• Milk = 80 - 16 = 64 litre

• Let's assume the quantity of mixture in jar B be x litre.

• Then, water in jar B =$x \times \frac{40}{100} = \frac{2x}{5}$

• milk in jar B =$x \times \frac{60}{100} = \frac{3x}{5}$

Now, in jar C,

• milk in jar C = $64 + \frac{3x}{5}$

• water in jar $C= 16 + \frac{2x}{5}$

Since, the ratio of milk to water in jar C is given as 5:2

• $\frac{64 + \frac{3x}{5}}{16 + \frac{2x}{5}} = \frac{5}{2}$

• By solving this ratio, we get as;

• $128 + \dfrac {6x}{5} = 80 + 2x$
• $\dfrac {64x}{5} = 48$
• x = 60
• Thus the quantity of milk in jar C =$64 + \frac{3x}{5} = 100\ litre$