Multiple choice

In what ratio sugar at Rs. 30/kg should be mixed with sugar at Rs. 45/kg so that on selling the mixture at Rs. 42/kg there is a profit of 20% ?

  1. 2 : 1

  2. 2 : 3

  3. 5 : 2

  4. 3 : 7

  5. None of these
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A Correct answer
Explanation

Selling price is 42/kg with 20% profit, so cost price = 42 / 1.2 = 35/kg. Using the allegation rule: (45 - 35) : (35 - 30) = 10 : 5 = 2 : 1.

AI explanation

To achieve a 20% profit at a selling price of Rs. 42, the required cost price of the mixture is 42 divided by 1.2, which equals Rs. 35. Using the rule of alligation with the two costs of Rs. 30 and Rs. 45 against the mean price of Rs. 35, we find the ratio by calculating (45 minus 35) to (35 minus 30). This results in a required mixing ratio of 10 : 5, which simplifies to 2 : 1.

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