40 लीटर दूध और पानी के मिश्रण में 10% पानी है। नए मिश्रण में पानी की मात्रा को 20% करने के लिए कितना पानी मिलाना पड़ेगा ?

Mathematics
40 लीटर दूध और पानी के मिश्रण में 10% पानी है। नए मिश्रण में पानी की मात्रा को 20% करने के लिए कितना पानी मिलाना पड़ेगा ?

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Answer

5 लीटर

Step 1: Calculate initial water.
Initial mixture is 40 liters with 10% water.
पानी=10%×40लीटर=0.10×40=4लीटरपानी = 10\% \times 40 \, लीटर = 0.10 \times 40 = 4 \, लीटर
Milk = 404=3640 - 4 = 36 liters.

Step 2: Let xx liters of water be added.
New water = 4+x4 + x liters.
New total = 40+x40 + x liters.

Step 3: Set up equation for 20% water.
4+x=20%×(40+x)4 + x = 20\% \times (40 + x)
4+x=0.20(40+x)4 + x = 0.20(40 + x)

Step 4: Expand right side.
4+x=8+0.20x4 + x = 8 + 0.20x

Step 5: Isolate xx.
x0.20x=84x - 0.20x = 8 - 4
0.80x=40.80x = 4
x=40.80=5x = \frac{4}{0.80} = 5 liters.

Final answer:
5लीटर5 लीटर

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Quick Answer

Calculate initial water. Initial mixture is 40 liters with 10% water.

40 लीटर दूध और पानी के मिश्रण में 10% पानी है। नए मिश्रण में पानी की मात्रा को 20% करने के लिए कितना पानी मिलाना पड़ेगा ?
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Calculate initial water. Initial mixture is 40 liters with 10% water. पानी = 10\% × 40 \, लीटर = 0.10 × 40 = 4 \, लीटर Milk = 40 - 4 = 36 liters. Step 2: Let x liters of water be added. New water = 4 + x liters. New total = 40 + x liters. Step 3: Set up equation for 20% water. 4 + x = 20\% × (40 + x) 4 + x = 0.20(40 + x) Step 4: Expand right side. 4 + x = 8 + 0.20x Step 5: Isolate x. x - 0.20x = 8 - 4 0.80x = 4 x = (4)/(0.80) = 5 liters. Final answer: 5 लीटर