How much water should be added to 60 liters of milk costing $1\frac{1}{2}$ per liter at ₹ 20 to get a mixture costing ₹$10\frac{2}{3}$ per liter?

How much water should be added to 60 liters of milk costing $1\frac{1}{2}$ per liter at ₹ 20 to get a mixture costing ₹$10\frac{2}{3}$ per liter?
20₹ में $1\frac{1}{2}$ लीटर कीमत वाले 60 लीटर दूध में कितना पानी मिलाया जाना चाहिए कि ₹ $10\frac{2}{3}$ प्रति लीटर कीमत का मिश्रण प्राप्त हो?

7 liter 9 liter 8 liter 15 liter

Detailed Solution & Logic

Correct Answer:

15 liter

Cost of 60 L milk = $ 60 \times \frac{40}{3} = 800 $
Let water added = $ x \text{ L} $
$\frac{800}{60 + x} = \frac{32}{3}$
$ 60 + x = \frac{800 \times 3}{32} = 75 $
x = 75 - 60 = 15
Answer = 15 L

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