Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
The ratio of milk and water in 64 litres of a mixture is 5 : 3. What amount of water is added to make the ratio 3 : 5? (P.C.S., 2006) 5
Answer
Answer (as printed):
Explanation
Quantity of milk $=\left(64\times\frac{5}{8}\right)$ litres $=40$ litres. Quantity of water $=\left(64\times\frac{3}{8}\right)$ litres $=24$ litres. Let $x$ litres of water be added. Then, $\frac{40}{24+x}=\frac{3}{5} \Rightarrow 200=72+3x$ $$\Rightarrow 3x=128 \Rightarrow x=\frac{128}{3}=42\frac{2}{3}.$$ Hence, required quantity $=42\frac{2}{3}$ litres.
Explanation as extracted from the printed page; notation may be imperfect.