The total selling price of 30 articles equals the total cost price of 25…
2023
The total selling price of 30 articles equals the total cost price of 25 articles. Find the percentage profit or loss.
Answer: B. 16⅔% loss — ConceptProfit or loss is measured against cost price. For one article, let the cost price be C and the selling price be S. If S/C is below 1, the difference…
- A.
18% profit
- B.
16⅔% loss
- C.
18% loss
- D.
16⅔% profit
Show answer & explanation
Correct answer: B
Concept
Profit or loss is measured against cost price. For one article, let the cost price be C and the selling price be S.
If S/C is below 1, the difference is a loss; the loss percentage is ((C − S)/C) × 100.
Application
The given total-price relation is 30S = 25C.
Dividing both sides by 30C gives S/C = 25/30 = 5/6.
Thus the loss fraction is (C − S)/C = 1 − 5/6 = 1/6.
Converting the fraction to a percentage gives (1/6) × 100 = 16⅔%.
Cross-check
Taking C = ₹6 gives S = ₹5. Then 30 articles sell for ₹150 and 25 articles cost ₹150, so the given relation is satisfied.
Result
Therefore, the transaction results in a loss of 16⅔%.