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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.
solve using formulae?
solve using formulae?
Most Upvoted Answer
Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20...
Understanding the Problem
Ramesh bought two boxes for a total of Rs 1300. He sold one box at a profit of 20% and the other at a loss of 12%. The selling prices of both boxes are the same. We need to find the cost price of each box.
Let’s 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).
Calculating Selling Prices
- Selling price of the first box (SP1):
- SP1 = Cost Price + Profit
- SP1 = x + 20% of x = x + (20/100)x = 1.2x
- Selling price of the second box (SP2):
- SP2 = Cost Price - Loss
- SP2 = (1300 - x) - 12% of (1300 - x)
- SP2 = (1300 - x) - (12/100)(1300 - x) = (1300 - x) - 0.12(1300 - x)
- SP2 = (1300 - x)(1 - 0.12) = (1300 - x)(0.88)
Setting Selling Prices Equal
Since the selling prices are the same:
1.2x = 0.88(1300 - x)
Solving for x
- Expand the equation:
1.2x = 0.88 * 1300 - 0.88x
- Combine like terms:
1.2x + 0.88x = 0.88 * 1300
- Simplify:
2.08x = 0.88 * 1300
- Calculate:
x = (0.88 * 1300) / 2.08
- Calculate x:
x = 520
Cost Prices of Each Box
- Cost price of the first box (CP1): Rs 520
- Cost price of the second box (CP2): Rs 1300 - Rs 520 = Rs 780
Conclusion
The cost prices of the boxes are Rs 520 and Rs 780, respectively.
Ramesh bought two boxes for a total of Rs 1300. He sold one box at a profit of 20% and the other at a loss of 12%. The selling prices of both boxes are the same. We need to find the cost price of each box.
Let’s 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).
Calculating Selling Prices
- Selling price of the first box (SP1):
- SP1 = Cost Price + Profit
- SP1 = x + 20% of x = x + (20/100)x = 1.2x
- Selling price of the second box (SP2):
- SP2 = Cost Price - Loss
- SP2 = (1300 - x) - 12% of (1300 - x)
- SP2 = (1300 - x) - (12/100)(1300 - x) = (1300 - x) - 0.12(1300 - x)
- SP2 = (1300 - x)(1 - 0.12) = (1300 - x)(0.88)
Setting Selling Prices Equal
Since the selling prices are the same:
1.2x = 0.88(1300 - x)
Solving for x
- Expand the equation:
1.2x = 0.88 * 1300 - 0.88x
- Combine like terms:
1.2x + 0.88x = 0.88 * 1300
- Simplify:
2.08x = 0.88 * 1300
- Calculate:
x = (0.88 * 1300) / 2.08
- Calculate x:
x = 520
Cost Prices of Each Box
- Cost price of the first box (CP1): Rs 520
- Cost price of the second box (CP2): Rs 1300 - Rs 520 = Rs 780
Conclusion
The cost prices of the boxes are Rs 520 and Rs 780, respectively.
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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.solve using formulae?
Question Description
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.solve using formulae? 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.solve using formulae? 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.solve using formulae?.
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.solve using formulae? 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.solve using formulae? 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.solve using formulae?.
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