Multiple choice

A sweet shop owner mixes two types of sweets: Type A, which costs Rs. 240 per kg, and Type B, which costs Rs. 360 per kg. He sells the final mixture at Rs. 324 per kg, thereby making a profit of 20%. In what ratio did he mix the two types of sweets?

  1. 1:2

  2. 2:3

  3. 3:1

  4. 4:5

  5. 5:4
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Selling price = 324, Profit = 20%. Cost price = 324 / 1.2 = 270. Using alligation: (360-270) / (270-240) = 90 / 30 = 3:1.

AI explanation

First, calculate the actual cost price of the mixture by dividing the selling price of 324 by 1.2 to account for the 20% profit, resulting in a cost price of 270. Using the rule of alligation, the ratio of Type A to Type B is the difference between the cost of B and the mean price (360 minus 270) to the difference between the mean price and the cost of A (270 minus 240). This gives an alligation ratio of 90 to 30, which simplifies to 3:1.

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