In a mixture, the ratio of milk to water is 7:2. If 9 liters of water is added, the ratio becomes 7:5. Find the original quantity of milk.
In a mixture, the ratio of milk to water is 7:2. If 9 liters of water is added, the ratio becomes 7:5. Find the original quantity of milk.
एक मिश्रण में दूध और पानी का अनुपात 7 : 2 हैं। अगर इसमें 9 लीटर पानी मिला दिया जाए, तो अनुपात 7 : 5 हो जाता हैं। दूध की मूल मात्रा ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
21 liters \ 21 लीटर
Given:
Milk : Water = 7 : 2
Let the original quantities be:
Milk = $7x$
Water = $2x$
After adding 9 liters water, the new ratio becomes 7 : 5.
So,
$\frac{7x}{2x + 9} = \frac{7}{5}$
Cross multiply:
$35x = 14x + 63$
$21x = 63$
$x = 3$
Original quantity of milk:
$7x = 7 \times 3 = 21$ liters
Correct Answer: 21 liters / 21 लीटर
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