Multiple choice

A merchant buys a brand of tea at Rs. 80 per kg and mixes it with another brand bought at Rs. 140 per kg. He makes a profit of 25% on selling the mixture at Rs. 125 per kg. What is the ratio in which the brands are mixed?

  1. 4 : 3

  2. 2 : 1

  3. 3 : 2

  4. 2 : 3

  5. 1 : 2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Selling at 125 with 25% profit means the cost price of the mixture is 125 / 1.25 = 100. Using the allegation rule with prices 80 and 140, the ratio is (140-100) : (100-80) = 40 : 20 = 2 : 1.

AI explanation

To make a 25 percent profit on a selling price of 125 rupees per kg, the cost price of the mixture is 125 divided by 1.25, which equals 100 rupees per kg. Using the rule of alligation with the two cost prices of 80 rupees and 140 rupees, the ratio of their quantities is (140 minus 100) to (100 minus 80). This simplifies to 40 to 20, resulting in a mixing ratio of 2 to 1.

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