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The cost of furniture inclusive of what is 7150 if the rate of what is 10% find the original price of the furniture.?
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The cost of furniture inclusive of what is 7150 if the rate of what is...
Understanding the Problem
To find the original price of the furniture before the tax is added, we must first understand what the total cost includes. The total cost given is 7150, which includes a 10% rate.
Step-by-Step Solution
1. Identify Total Cost
- The total cost of the furniture is 7150.
2. Understand the Rate
- The 10% rate refers to the tax or additional charge on the original price.
3. Formula for Total Cost
- The total cost can be expressed as:
Total Cost = Original Price + (10% of Original Price)
This can also be written as:
Total Cost = Original Price × (1 + Rate)
4. Convert the Rate to Decimal
- The rate of 10% can be converted to decimal form:
10% = 0.10
Therefore, (1 + Rate) = 1 + 0.10 = 1.10
5. Set Up the Equation
- Now, we can set up the equation:
7150 = Original Price × 1.10
6. Solve for Original Price
- To find the original price, we need to isolate it:
Original Price = 7150 / 1.10
Original Price = 6500
Conclusion
- The original price of the furniture before tax was added is 6500.
This step-by-step method helps in understanding how to calculate the original price from a total that includes a percentage increase.
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The cost of furniture inclusive of what is 7150 if the rate of what is 10% find the original price of the furniture.?
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