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A shopkeeper marks is good 20% above cost price and allows are discount of 15% what percent does he gain or loss!?
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A shopkeeper marks is good 20% above cost price and allows are discoun...
Understanding the Problem
To determine the shopkeeper's gain or loss, we first need to establish the cost price (CP) and how the selling price (SP) is calculated after marking and discount.
Step 1: Calculate the Marked Price (MP)
- Let the Cost Price (CP) be Rs. 100 (for easy calculation).
- The shopkeeper marks the goods 20% above the cost price.
- Marked Price (MP) = CP + 20% of CP
- MP = 100 + 20% of 100 = 100 + 20 = Rs. 120
Step 2: Calculate the Selling Price (SP)
- The shopkeeper allows a discount of 15% on the marked price.
- Discount = 15% of MP = 15% of 120 = Rs. 18
- Selling Price (SP) = MP - Discount
- SP = 120 - 18 = Rs. 102
Step 3: Calculate Gain or Loss
- Now, we can calculate the gain or loss by comparing the selling price (SP) with the cost price (CP).
- Gain/Loss = SP - CP
- Gain/Loss = 102 - 100 = Rs. 2
Step 4: Calculate the Gain Percentage
- Gain Percentage = (Gain / CP) × 100
- Gain Percentage = (2 / 100) × 100 = 2%
Conclusion
The shopkeeper gains 2% on the goods sold after applying the discount. This calculation shows how marking up prices and applying discounts can still lead to profit when done strategically.
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A shopkeeper marks is good 20% above cost price and allows are discount of 15% what percent does he gain or loss!?
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