Class 8 Exam > Class 8 Questions > Ramesh bought two boxes for Rs 1300. He sold ...
Start Learning for Free
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.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup