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An almirah is sold at ₹5225 after allowing a discount of 5 percent. Find its marked price.?
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An almirah is sold at ₹5225 after allowing a discount of 5 percent. Fi...
Understanding the Problem
To find the marked price of the almirah, we start with the selling price and the discount percentage. The selling price after the discount is ₹5225, and the discount given is 5%.
Formulas to Use
- Selling Price (SP) = Marked Price (MP) - Discount
- Discount = (Discount Percentage/100) × Marked Price
Calculating the Discount
1. Let the marked price be MP.
2. The discount can be calculated as:
- Discount = (5/100) × MP = 0.05 × MP
Setting Up the Equation
Now, we can express the selling price in terms of the marked price:
- SP = MP - Discount
- Thus,
- 5225 = MP - 0.05 × MP
Simplifying the Equation
3. Combine the terms:
- 5225 = MP (1 - 0.05)
- 5225 = MP × 0.95
Finding the Marked Price
4. To find MP, divide both sides by 0.95:
- MP = 5225 / 0.95
- MP = 5500
Conclusion
The marked price of the almirah is ₹5500. This calculation shows how to derive the marked price from the selling price and discount percentage effectively.
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An almirah is sold at ₹5225 after allowing a discount of 5 percent. Find its marked price.?
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