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How many litres of a $3\%$ hydrogen peroxide solution should be mixed with $6$ liters of a $30\%$ hydrogen peroxide solution so as to get a mixture of $12\%$ solution ?

  1. $3$ litres
  2. $6$ liters
  3. $9$ litres
  4. $12$ litres
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Option (D)

Let x litres of hydrogen peroxide solution should be added, then

0.03x + (0.3)(6) = 0.12(x + 6)

$\implies 0.09x = 1.08 \implies x = 12$

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