A shopkeeper bought an article for ₹100 and marked its price 25% above the cost price. How much discount percentage should he announce in order to make a profit of 15%?
एक दुकानदार ने ₹100 में एक वस्तु खरीदी और इसका मूल्य लागत मूल्य से 25% अधिक अंकित किया। 15% का लाभ अर्जित करने के लिए उसे कितने प्रतिशत की छूट की घोषणा करनी चाहिए?

Options

A. 8.25
B. 8.5
C. 8
D. 10

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Determine the Cost Price (CP)
The shopkeeper bought the article for ₹100.
- **Cost Price (CP)** = ₹100

### Step 2: Calculate the Marked Price (MP)
The marked price is 25% above the cost price.
- **Marked Price (MP)** = CP + 25% of CP
- 25% of ₹100 = ₹25
- Therefore, MP = ₹100 + ₹25 = ₹125

### Step 3: Calculate the Selling Price (SP) for a 15% Profit
To find the selling price that gives a 15% profit, we first calculate 15% of the cost price.
- **Profit** = 15% of CP = 15% of ₹100 = ₹15
- Therefore, the Selling Price (SP) = CP + Profit = ₹100 + ₹15 = ₹115

### Step 4: Determine the Discount Amount
Now, we need to find the discount amount that the shopkeeper can give from the marked price to achieve the selling price.
- **Discount** = MP - SP = ₹125 - ₹115 = ₹10

### Step 5: Calculate the Discount Percentage
The discount percentage can be calculated using the formula:
- **Discount Percentage** = (Discount / Marked Price) × 100
- Discount Percentage = (₹10 / ₹125) × 100 = 8%

### Final Answer
The discount percentage that the shopkeeper should announce to make a profit of 15% is **8%**.

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