A shopkeeper marks his goods at 60% above the cost price. He allows a discount of 25% on the marked price. If he also gives an ad…

Question

A shopkeeper marks his goods at 60% above the cost price. He allows a discount of 25% on the marked price. If he also gives an additional cash discount of ₹150, and still makes a profit of 14% on the cost price, what is the cost price of the goods?

1. A. ₹2000
2. B. ₹2500 (Correct answer)
3. C. ₹3000
4. D. ₹3500

Correct Answer

Option B — ₹2500

Detailed Solution & Explanation

The correct answer is ₹2500.

Key Points

• Let the cost price be CP and build the selling price step by step:
  • Marked 60% above cost: MP = 1.6 CP
  • After a 25% discount: 1.6 CP × 0.75 = 1.2 CP
  • After the extra ₹150 cash discount: SP = 1.2 CP − 150
• The final profit is 14%, so SP must also equal 1.14 CP:
  • 1.2 CP − 150 = 1.14 CP
  • 0.06 CP = 150 → CP = ₹2,500
• Check: MP = 4,000, less 25% = 3,000, less 150 = 2,850 = 1.14 × 2,500 ✓.
• Percentage discounts apply to the marked price while a flat cash discount is a straight rupee subtraction — keep the two separate and apply them in the stated order.

Additional Information

• A cash discount is a flat rupee deduction and cannot be combined with percentage discounts; apply percentages first, then subtract the fixed amount.
• Successive percentage discounts of a and b combine to a + b − ab/100, not a + b — worth knowing when two percentage discounts appear together.
• Forming a single equation in CP and equating the two expressions for the selling price is the general method for any chain of markups and discounts.

प्रश्न (हिन्दी में)

एक दुकानदार अपने माल पर लागत मूल्य से 60% अधिक मूल्य अंकित करता है। वह अंकित मूल्य पर 25% की छूट देता है। यदि वह ₹150 की अतिरिक्त नकद छूट भी देता है, और फिर भी लागत मूल्य पर 14% का लाभ कमाता है, तो माल का लागत मूल्य क्या है?

1. A. ₹2000
2. B. ₹2500
3. C. ₹3000
4. D. ₹3500