How many kg of salt at Rs. 2 per kg must a man mix with 25 kg of salt at 1 Rs. per kg so that he may, on selling the mixture at Rs. 1.5 per kg gain 25% on the outlay?

First, determine the target cost price for the mixture by calculating the selling price of Rs. 1.5 divided by 1.25, which yields a required mean price of Rs. 1.2 per kg. Applying the rule of alligation between the Rs. 2 per kg salt and the Re. 1 per kg salt, we get the ratio of their quantities as (1.2 - 1.0) : (2.0 - 1.2), which simplifies to 0.2 : 0.8 or 1:4. Since the second type corresponds to the 25 kg of Re. 1 salt, the first type must be one-fourth of that, equaling 6.25 kg.

• Thanks
• Wrong explanation