Multiple choice

By selling pens at $4$ for $Rs. 10$, a shopkeeper makes a profit of $20\%$ on the cost price. If he sells them at $Rs. x$ per dozen, he loses $10\%$ on the cost price. Calculate $x$.

  1. $Rs. 18.50$
  2. $Rs. 22.50$
  3. $Rs. 20$
  4. $Rs. 18.75$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Cost of 4 pens = 10 / 1.2 = 8.33. Cost of 12 pens = 25. Selling at 10% loss means selling at 90% of cost. Selling price = 0.9 * 25 = 22.5.

AI explanation

The cost price of 4 pens is 10 divided by 1.20, which equals Rs. 25/3. To find the selling price for a 10% loss, multiply the cost price by 0.90, giving (25/3) * 0.90 = Rs. 7.50 per pen. Multiplying this selling price by 12 for a dozen yields x = 12 * 7.50 = Rs. 22.50.

Keep practicing — related questions