The marked price of an article is ₹ 500. The shopkeeper allows a discount of…
2013
The marked price of an article is ₹ 500. The shopkeeper allows a discount of 5% and still earns a profit of 25%. The cost price of the article is:
- A.
₹ 280
- B.
₹ 225
- C.
₹ 425
- D.
₹ 380
Attempted by 2 students.
Show answer & explanation
Correct answer: D
Step 1: Calculate the selling price after a 5% discount on the marked price of ₹ 500.
Selling Price = 500 × (1 - 0.05) = 500 × 0.95 = ₹ 475.
Step 2: The shopkeeper earns a 25% profit on the cost price. Use the formula:
Selling Price = Cost Price × (1 + Profit%).
475 = Cost Price × (1 + 0.25) = Cost Price × 1.25.
Step 3: Solve for Cost Price.
Cost Price = 475 / 1.25 = ₹ 380.
हिन्दी उत्तर:
चरण 1: ₹ 500 के अंकित मूल्य पर 5% छूट के बाद विक्रय मूल्य की गणना करें।
विक्रय मूल्य = 500 × (1 - 0.05) = 500 × 0.95 = ₹ 475।
चरण 2: दुकानदार लागत मूल्य पर 25% लाभ कमाता है। सूत्र का उपयोग करें:
विक्रय मूल्य = लागत मूल्य × (1 + लाभ%)।
475 = लागत मूल्य × (1 + 0.25) = लागत मूल्य × 1.25।
चरण 3: लागत मूल्य के लिए हल करें।
लागत मूल्य = 475 / 1.25 = ₹ 380।