Question

In what proportion water is mixed with spirit to gain 12.5% by selling it at cost price?​

Answer 1

Answer:

1:8

Step-by-step explanation:

Answer 2

The ratio of water and spirit would be 1:8.

Step-by-step explanation:

Let the cost price of spirit = Re. 1

Let the selling price of mixture = Re. 1

Gain = 12.5%

So, Cost price of mixture would be

$\dfrac{100}{100+12.5}\times 1\\\\=\dfrac{100}{112.5}\times 1\\\\=\dfrac{8}{9}$

So, using "Mixture and allegations":

Spirit     Water

   1             0

        $\dfrac{8}{9}$

--------------------------------------------

$\dfrac{8}{9}:\dfrac{1}{9}$

Hence, the ratio of water and spirit would be 1:8.

# learn more:

In what proportion water must be added to spirit to gain 20% by selling it at the cost price ?

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