# Discussion of Question with ID = 008 under Alligations-and-Mixtures

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### Question

In what ratio should water and wine be mixed so that after selling the mixture at cost price a profit of 5% is made?

A

${1/20}$.

B

$1{2/19}$.

C

$1{19/22}$.

D

$2{17/22}$.

Soln.
Ans: a

The water will be sold at the price of wine. So the profit will be earned by selling water as wine. Profit% = $\text"Profit"/\text"Cost"$ × 100. If profit percent is 5%, then 1 part of pure water is sold at the cost of 20 parts of wine. So the required mixing ratio should be 1 : 20.