Question

65. In a vessel, milk and water are in the ratio of 5 :
2. If 42 liter of mixture is taken out from the
vessel and 32 liter of water is added, then new
ratio of milk and water becomes 7: 6. Find initial
quantity of mixture in vessel?
(a) 84 liters (b) 98 liters (C) 126 liters
(d) 154 liters (e) 140 liters​

Answer 1

Answer:

1/5

Let the vessel contains 8 litres of liquid.

Let x litres of this liquid be replaced with water

when x litre of mixture is taken out it means

8

5x

litre milk and

8

3x

litre water taken out

Quantity of water in new mixture =(3−

8

3x

+x)litres

Quantity of milk in new mixture =(5−

8

5x

)litres

∴(3−

8

3x

+x)=(5−

8

5x

)

⇒5x+24=40−5x

⇒10x=16

∴x=

5

8

So, part of the mixture replaced =(

5

8

×

8

1

)=

5

1