Multiple choice

A shopkeeper mixed some sugar costing Rs. 40 per kg with 40 kg of sugar costing Rs. 32 per kg. If he earned a profit of 20% by selling the mixture at Rs. 43.2 per kg, then how much quantity of sugar costing Rs. 40 did he mix?

  1. 35 kg

  2. 37 kg

  3. 40 kg

  4. 45 kg

  5. 47 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the quantity of sugar at Rs 40. Total cost = 40x + 40 * 32 = 40x + 1280. Selling price = 43.2 * (x + 40). Profit is 20 percent, so SP = 1.2 * CP. 43.2(x + 40) = 1.2(40x + 1280). 43.2x + 1728 = 48x + 1536. 192 = 4.8x, so x = 40.

AI explanation

Using the selling price and profit percentage, the cost price of the mixture is 43.2 divided by 1.20, which gives Rs. 36 per kg. Applying the rule of alligation with the costs of Rs. 32 and Rs. 40, the ratio of their quantities is (40 minus 36) to (36 minus 32), simplifying to 1:1. Since the quantity of Rs. 32 sugar is 40 kg, the quantity of Rs. 40 sugar must also be 40 kg. The result is 40 kg.

Keep practicing — related questions