Multiple choice

A shopkeeper sells 50 articles and earns a profit of Rs. x per article. He sells 30 more articles, which are defective, and incurs a loss of Rs. 0.2x per article. The profit percent of shopkeeper after selling 80 articles is 22%. What will be the value of profit percent, if he earns a profit of Rs. 0.6x per article?

  1. 18%

  2. 20%

  3. 23%

  4. 24%

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

In the first scenario, selling 50 articles yields a profit of 50x, while selling the 30 defective articles incurs a loss of 6x, generating a net profit of 44x across 80 articles. Since this 44x equals a 22% profit, the total cost price of all 80 articles must be 200x, making the cost price of each article 2.5x. If he earns a profit of 0.6x per article on 80 items, the total profit becomes 48x. Dividing this new total profit of 48x by the total cost of 200x and multiplying by 100 gives a new profit percent of 24%.