Ratio And Proportion Ques 42
Question-
In a vessel containing 70 litres of milk, 12 litres of it is replaced with water, then after that 5 litres of the mixture is replaced with water. What is the ratio of milk and water in the new mixture?
(1) 377: 113
(2) 351: 69
(3) 279: 141
(4) 293: 197
(5) None of these
(IBPS RRBs Officer CWE Prelim Exam, 13.09.2020)
Show Answer
Correct Answer: (1)
Solution: (1)
After replacement of 12 litres of milk,
In 70 litres of mixture,
Quantity of milk $=58$ litres
Quantity of water $=12$ litres
Milk : Water $=58: 12=29: 6$
In 5 litres of mixture,
Quantity of milk $=\frac{5 \times 29}{35}=\frac{29}{7}$ litres
Quantity of water $=\frac{5 \times 6}{35}=\frac{6}{7}$ litre
On adding 5 litres of water, In the resulting mixture,
Milk : Water $=\left(58-\frac{29}{7}\right):\left(12-\frac{6}{7}+5\right)$
$=\left(\frac{406-29}{7}\right):\left(17-\frac{6}{7}\right)$
$=\frac{377}{7}: \frac{119-6}{7}$
$=377: 113$
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