Multiple choice

The marked price of an article is Rs.2475. The shopkeeper allows a discount of 12.5% and gains 12.5%. If no discount is allowed, what would his gain percentage be? एक वस्तु का चिह्नित मूल्य 2475 रुपये है । दुकानदार 12.5% की छूट देता है और 12.5% का लाभ प्राप्त करता है । यदि कोई छूट न दी जाय, तो उसका लाभ प्रतिशत क्या होगा?

  1. 28 4 7 %

  2. 26 3 4 %

  3. 27 1 3 %

  4. 24 4 7 %

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Marked price = Rs. 2475. After 12.5% discount, selling price = 2475 × (1 - 0.125) = 2475 × 0.875 = Rs. 2165.625. Shopkeeper gains 12.5%, so cost price = 2165.625 / 1.125 = Rs. 1925. If no discount, selling price = Rs. 2475. Gain = 2475 - 1925 = Rs. 550. Gain percentage = 550/1925 × 100 = 28.57% = 28 4/7%. The claimed answer is correct.