Question

Q7. ramesh has a container filled completely with 80 % milk and 20 % water. 5 litres of thesolution is removed and replaced with water. then, 15 litres of this solution is removed andreplaced with water. the milk percentage is now 55%. which of the following can be thecapacity of the container (in litres)?a.20
b. 40
c. 50
d. 60
e. none

Answer 1

Let capacity of the container =x=x
Then, initial quantity of milk = OK=0.8x

0.8x(1−5x)(1−15x)=0.55x⇒16(1−5x)(1−15x)=11⇒16x2(x−5)(x−15)=11⇒16(x2−20x+75)=11x2⇒16x2−320x+1200=11x2⇒5x2−320x+1200=0⇒x2−64x+240=0⇒(x−60)(x−4)=0⇒x=60