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A shopkeeper allows 15% discount and still make 5% profit.find the marked price of an article which costs him 340?
Most Upvoted Answer
A shopkeeper allows 15% discount and still make 5% profit.find the mar...
Understanding the Problem
To find the marked price of an article, we need to consider the cost price, the profit margin, and the discount given by the shopkeeper.
Given Information
- Cost Price (CP) = 340
- Profit Percentage = 5%
- Discount Percentage = 15%
Calculating Selling Price (SP)
1. Calculate the Selling Price
To find the Selling Price, we use the formula:
SP = CP + (Profit Percentage of CP)
- Profit = 5% of 340
- Profit = (5/100) * 340 = 17
- SP = 340 + 17 = 357
Calculating the Marked Price (MP)
2. Find the Marked Price
With a 15% discount on the Marked Price, the Selling Price can be expressed as:
SP = MP - (Discount Percentage of MP)
- Discount = 15% of MP = (15/100) * MP
- Thus, SP = MP - (0.15 * MP)
- SP = 0.85 * MP
3. Set up the equation
From our previous calculation, we know SP = 357.
Therefore, we can set up the equation:
0.85 * MP = 357
4. Solve for MP
- MP = 357 / 0.85
- MP = 420
Conclusion
The marked price of the article is 420.
Community Answer
A shopkeeper allows 15% discount and still make 5% profit.find the mar...
MARKED PRICE = 400 rupees
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