# Answer to Question #20020 in Algebra for saurabh

Question #20020

IN WHAT PROPORTION SHOULD WATER BE MIXED IN A LIQUID OF RS 12 PER LITRE SO THAT WHEN ITS SOLD AT RS 13.75 PER LITRE , THERE IS PROFIT OF 25% PROFIT

Expert's answer

If the profit is 25%, getting:

13.75 = P(1 + 0.25), where P is the price of solution.

P = 13.75 / 1.25 = 11

Assuming that a liquid of RS 12 per litre is dissolved with a water of RS 0 per

litre. Then each litre of the solution costs:

(1 - X) * 12 + X * 0 = 11

So, 1 - X = 11 / 12

X / (1 - X) = (1 / 12) / (11 / 12) = 1 / 11.

13.75 = P(1 + 0.25), where P is the price of solution.

P = 13.75 / 1.25 = 11

Assuming that a liquid of RS 12 per litre is dissolved with a water of RS 0 per

litre. Then each litre of the solution costs:

(1 - X) * 12 + X * 0 = 11

So, 1 - X = 11 / 12

X / (1 - X) = (1 / 12) / (11 / 12) = 1 / 11.

**Answer**: 1 : 11.
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