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In a vessel there is 40 litres mixture of milk and water. There is 15% water in the mixture. The milkman sells 10 litres of mixture to a cu…

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In a vessel there is 40 litres mixture of milk and water. There is 15% water in the mixture. The milkman sells 10 litres of mixture to a customer and thereafter adds 12.5 litres of water to the remaining mixture. What is the respective ratio of milk and water in the new mixture ?
  • A2 : 3
  • B3 : 2
  • C3 : 4
  • D4 : 3
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CCommunity
Solution
Mixture remaining after selling 10 litres = 40 - 10 = 30 litres
Now, quantity of water in 30 litres of mixture = $\frac{15}{100} * 30$ = 4.5 litres
Milk = 30 - 4.5 = 25.5 litres
After adding 12.5 litres of water, total quantity of water = 12.5 + 4.5 = 17 litres
$\therefore$ Required ratio of milk and water = 25.5 : 17
= 1.5 : 1 = 3 : 2
0
CCommunity
Solution
Mixture remaining after selling 10 litres = 40 - 10 = 30 litres
Now, quantity of water in 30 litres of mixture = $\frac{15}{100} * 30$ = 4.5 litres
Milk = 30 - 4.5 = 25.5 litres
After adding 12.5 litres of water, total quantity of water = 12.5 + 4.5 = 17 litres
$\therefore$ Required ratio of milk and water = 25.5 : 17
= 1.5 : 1 = 3 : 2