A Solution of milk and water contains 60% milk.
A Solution of milk and water contains 60% milk. How many litres of pure milk must be added to 40 litres of this solution to make the milk content 75%?
दूध और पानी के विलयन में 60% दूध है। इस विलयन के 40 लीटर में कितने लीटर शुद्ध दूध मिलाया जाना चाहिए ताकि दूध की मात्रा 75% हो जाए?
Detailed Solution & Logic
Correct Answer:
24 liters / 24 लीटर
Given:
Total solution = 40 litres
Milk = $60%$ of 40
$=\frac{60}{100}\times40$
$=24$ litres
Water = $40-24=16$ litres
Let $x$ litres of pure milk be added.
New milk quantity:
$24+x$
New total solution:
$40+x$
According to the question:
$\frac{24+x}{40+x}=\frac{75}{100}$
$\frac{24+x}{40+x}=\frac{3}{4}$
Cross multiply:
$4(24+x)=3(40+x)$
$96+4x=120+3x$
x=24
Correct answer: 24 liters / 24 लीटर
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