How many litres of Rs. 16 per litre wine should a merchant add to 25 litres of Rs. 20 per litre wine, so that he earns 25% by selling the mixture at Rs. 22 per litre?

The cost price of the mixture must be 22 divided by 1.25, which equals 17.6 rupees per litre. Using the rule of alligation between the cheaper wine at 16 rupees and the dearer wine at 20 rupees against the mean price of 17.6 rupees, the ratio of quantities is 2.4 to 1.6, or 3 to 2. If 2 parts equal 25 litres, then 3 parts equal 37.5 litres. The merchant should add 37.5 litres of the cheaper wine.

• Thanks
• Wrong explanation