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Juhi sells a washing machine for 13,500. she loses 20% in the bargain. what was the price at which she bought it? step by step explanation?
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Juhi sells a washing machine for 13,500. she loses 20% in the bargain....
Understanding the Problem
Juhi sells a washing machine for ₹13,500 and incurs a 20% loss on the sale. To find out the price she bought it for, we need to work backwards from the selling price and the percentage loss.
Step 1: Identify the Selling Price and Loss Percentage
- Selling Price (SP) = ₹13,500
- Loss Percentage = 20%
Step 2: Calculate the Cost Price (CP)
1. **Understanding Loss**:
When Juhi sells the washing machine for ₹13,500, she loses 20% of the Cost Price (CP).
This means the selling price is 80% of the cost price (100% - 20% = 80%).
2. **Use the Formula**:
The relationship between Selling Price and Cost Price can be expressed as:
\[ SP = (CP \times (100 - \text{Loss Percentage})) / 100 \]
Plugging in the values:
\[ 13,500 = (CP \times 80) / 100 \]
3. **Rearranging the Equation**:
\[ 13,500 = 0.8 \times CP \]
To find CP, divide both sides by 0.8:
\[ CP = 13,500 / 0.8 \]
\[ CP = 16,875 \]
Final Calculation
- **Cost Price (CP)**: Juhi bought the washing machine for ₹16,875.
Conclusion
Juhi's initial investment in the washing machine was ₹16,875, and selling it at ₹13,500 resulted in a loss of 20%. Understanding the relationship between selling price and cost price is essential in calculating profit or loss in transactions.
Juhi sells a washing machine for ₹13,500 and incurs a 20% loss on the sale. To find out the price she bought it for, we need to work backwards from the selling price and the percentage loss.
Step 1: Identify the Selling Price and Loss Percentage
- Selling Price (SP) = ₹13,500
- Loss Percentage = 20%
Step 2: Calculate the Cost Price (CP)
1. **Understanding Loss**:
When Juhi sells the washing machine for ₹13,500, she loses 20% of the Cost Price (CP).
This means the selling price is 80% of the cost price (100% - 20% = 80%).
2. **Use the Formula**:
The relationship between Selling Price and Cost Price can be expressed as:
\[ SP = (CP \times (100 - \text{Loss Percentage})) / 100 \]
Plugging in the values:
\[ 13,500 = (CP \times 80) / 100 \]
3. **Rearranging the Equation**:
\[ 13,500 = 0.8 \times CP \]
To find CP, divide both sides by 0.8:
\[ CP = 13,500 / 0.8 \]
\[ CP = 16,875 \]
Final Calculation
- **Cost Price (CP)**: Juhi bought the washing machine for ₹16,875.
Conclusion
Juhi's initial investment in the washing machine was ₹16,875, and selling it at ₹13,500 resulted in a loss of 20%. Understanding the relationship between selling price and cost price is essential in calculating profit or loss in transactions.
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Juhi sells a washing machine for 13,500. she loses 20% in the bargain. what was the price at which she bought it? step by step explanation?
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Juhi sells a washing machine for 13,500. she loses 20% in the bargain. what was the price at which she bought it? step by step explanation? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Juhi sells a washing machine for 13,500. she loses 20% in the bargain. what was the price at which she bought it? step by step explanation? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Juhi sells a washing machine for 13,500. she loses 20% in the bargain. what was the price at which she bought it? step by step explanation?.
Juhi sells a washing machine for 13,500. she loses 20% in the bargain. what was the price at which she bought it? step by step explanation? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Juhi sells a washing machine for 13,500. she loses 20% in the bargain. what was the price at which she bought it? step by step explanation? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Juhi sells a washing machine for 13,500. she loses 20% in the bargain. what was the price at which she bought it? step by step explanation?.
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