Ratio And Proportion Ques 27
Question-
There is 81 litres of pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture?
(1) $1: 2$
(2) $1: 1$
(3) $2: 1$
(4) $4: 5$
(5) None of these
Show Answer
Correct Answer: (4)
Solution: (4)
Initial quantity of pure milk $=81$ litres
Remaining milk= Initial quantity $\left(1-\frac{\text { quantity taken out }}{\text { Initial quantity }}\right)^{n}$
$=81\left(1-\frac{27}{81}\right)^{2}=81\left(1-\frac{1}{3}\right)^{2}$
$=81 \times\left(\frac{2}{3}\right)^{2}=81 \times \frac{4}{9}=36$ litres
$\therefore$ Required ratio $=36-(81-$ 36) $=36: 45=4: 5$
BETA
