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Standard VI

Mathematics

Word Problems

Two solutions...

Question

Two solutions of $90 %$ and $97 %$ purity are mixed resulting in $21$ litres of mixture of $94 %$ purity. How much is the quantity of the first solution in the resulting mixture?

15

liters

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12

liters

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9

liters

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6

liters

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Solution

The correct option is B $9$ liters
By allegation rule

$∴$ Quantity of first solution in $21$ litre of Mixture
= $3 \times \frac{21}{7} = 9 l i t r e s$ .

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Two solutions of 90% and 97% purity are mixed resulting in 21 litres of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?

The correct option is B 9 litersBy allegation rule∴ Quantity of first solution in 21 litre of Mixture= 3×217=9litres.

Two solutions of $90 %$ and $97 %$ purity are mixed resulting in $21$ litres of mixture of $94 %$ purity. How much is the quantity of the first solution in the resulting mixture?

The correct option is B $9$ liters
By allegation rule

$∴$ Quantity of first solution in $21$ litre of Mixture
= $3 \times \frac{21}{7} = 9 l i t r e s$ .