Multiple choice

A shopkeeper has 80 kg pure sugar. He mixes a certain quantity of salt (in kg) in it and made profit of 25% by selling the mixture at its cost price. If cost price of pure sugar was Rs. 24 per kg then how much amount of salt the shopkeeper mixed to the pure sugar (Assume cost of salt to be zero)?

  1. 10 kg

  2. 25 kg

  3. 20 kg

  4. 24 kg

  5. 40 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the amount of salt. Total cost = 80 * 24 = 1920. Selling price = 1920 * 1.25 = 2400. Since it is sold at cost price per kg (24), the total weight of the mixture is 2400 / 24 = 100 kg. Salt added = 100 - 80 = 20 kg.

AI explanation

Using the mixture formula when profit is made by selling at cost price, the ratio of pure sugar to salt is (Profit / 100). Here, 25% profit means the ratio of pure sugar to salt is 25/100, or 1/4. With 80 kg of pure sugar, the calculation is 80 = 1 part, meaning 4 parts would be 320 kg, but using the ratio 80 / x = 1 / 4 gives x = 20 kg of salt.

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