Multiple choice

A shopkeeper buys 50 kg of superior quality of sugar for Rs. 30 per kg and some of inferior quality sugar for Rs. 20 per kg. He mixes both types of sugar. If he sells the whole mixture at Rs. 2280, he makes a profit of 20%. How many kilograms of inferior quality sugar does he buy?

  1. 15 kg

  2. 19 kg

  3. 20 kg

  4. 23 kg

  5. 25 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The selling price is 2280 with a 20% profit, so the cost price is 2280 / 1.2 = 1900. Let x be the quantity of inferior sugar; then 50 * 30 + x * 20 = 1900. Solving for x gives 1500 + 20x = 1900, so 20x = 400, meaning x = 20 kg.

AI explanation

The selling price of 2280 rupees includes a 20 percent profit, so the total cost price is 2280 divided by 1.2, which is 1900 rupees. The cost of the superior sugar is 50 kg times 30 rupees, or 1500 rupees, leaving 400 rupees spent on the inferior sugar at 20 rupees per kg. Dividing 400 by 20 shows the shopkeeper bought 20 kg of inferior quality sugar.

Keep practicing — related questions