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Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.?
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Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20...
To solve the problem of Ramesh's boxes, we will denote the cost prices of the two boxes and set up equations based on the information provided.
Step 1: Define Variables
- Let the cost price of the first box be Rs x.
- Let the cost price of the second box be Rs (1300 - x) since the total cost is Rs 1300.
Step 2: Selling Prices
- The selling price of the first box (with a profit of 20%) can be calculated as:
- Selling Price of Box 1 = x + 20% of x = x + 0.2x = 1.2x
- The selling price of the second box (with a loss of 12%) can be calculated as:
- Selling Price of Box 2 = (1300 - x) - 12% of (1300 - x)
- Selling Price of Box 2 = (1300 - x) - 0.12(1300 - x)
- Selling Price of Box 2 = (1300 - x)(1 - 0.12) = (1300 - x)(0.88)
Step 3: Set Selling Prices Equal
Since the selling prices of both boxes are the same, we can set the equations equal to each other:
1.2x = 0.88(1300 - x)
Step 4: Solve the Equation
Expanding the equation:
1.2x = 0.88 * 1300 - 0.88x
1.2x + 0.88x = 0.88 * 1300
2.08x = 774.4
x = 774.4 / 2.08
x ≈ 372.12
Now, we can find the cost price of the second box:
Cost Price of Box 2 = 1300 - x
Cost Price of Box 2 ≈ 1300 - 372.12 ≈ 927.88
Final Cost Prices
- Cost Price of Box 1: Rs 372.12
- Cost Price of Box 2: Rs 927.88
Thus, the cost prices of the boxes are approximately Rs 372.12 and Rs 927.88.
Step 1: Define Variables
- Let the cost price of the first box be Rs x.
- Let the cost price of the second box be Rs (1300 - x) since the total cost is Rs 1300.
Step 2: Selling Prices
- The selling price of the first box (with a profit of 20%) can be calculated as:
- Selling Price of Box 1 = x + 20% of x = x + 0.2x = 1.2x
- The selling price of the second box (with a loss of 12%) can be calculated as:
- Selling Price of Box 2 = (1300 - x) - 12% of (1300 - x)
- Selling Price of Box 2 = (1300 - x) - 0.12(1300 - x)
- Selling Price of Box 2 = (1300 - x)(1 - 0.12) = (1300 - x)(0.88)
Step 3: Set Selling Prices Equal
Since the selling prices of both boxes are the same, we can set the equations equal to each other:
1.2x = 0.88(1300 - x)
Step 4: Solve the Equation
Expanding the equation:
1.2x = 0.88 * 1300 - 0.88x
1.2x + 0.88x = 0.88 * 1300
2.08x = 774.4
x = 774.4 / 2.08
x ≈ 372.12
Now, we can find the cost price of the second box:
Cost Price of Box 2 = 1300 - x
Cost Price of Box 2 ≈ 1300 - 372.12 ≈ 927.88
Final Cost Prices
- Cost Price of Box 1: Rs 372.12
- Cost Price of Box 2: Rs 927.88
Thus, the cost prices of the boxes are approximately Rs 372.12 and Rs 927.88.
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Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.?
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Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.?.
Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.?.
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