The selling price of 25 books equals the cost price of 27 books. What is the…
2026
The selling price of 25 books equals the cost price of 27 books. What is the gain or loss percentage?
Answer: D. 8% gain — ConceptFor identical articles, compare the selling price per article with the cost price per article. Gain percentage = (gain per article ÷ cost price per…
- A.
8% loss
- B.
100/2% gain
- C.
100/2% loss
- D.
8% gain
Attempted by 102 students.
Show answer & explanation
Correct answer: D
Concept
For identical articles, compare the selling price per article with the cost price per article.
Gain percentage = (gain per article ÷ cost price per article) × 100; a selling price above the cost price indicates a gain.
Application
Let the cost price of one book be ₹100. Then the cost price of 27 books is ₹2,700.
The selling price of 25 books is also ₹2,700, so the selling price of one book is ₹2,700 ÷ 25 = ₹108.
Gain per book = ₹108 − ₹100 = ₹8.
Gain percentage = (₹8 ÷ ₹100) × 100 = 8%. Therefore, the result is an 8% gain.
Cross-check
Directly, SP/CP per book = 27/25 = 1.08. Thus SP is 108% of CP, confirming an 8% gain.