Class 8 Exam > Class 8 Questions > A shopkeeper sold two fans for ₹ 1140 each. ...
Start Learning for Free
A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.?
Most Upvoted Answer
A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, whil...
Introduction
To find the overall gain or loss percentage from the sale of two fans, we first need to calculate the cost price (CP) of each fan based on the selling price (SP) and the gain or loss percentages.
Cost Price of Fan 1 (10% Gain)
- Selling Price (SP) = ₹ 1140
- Gain Percent = 10%
- Formula: CP = SP / (1 + Gain%)
- Calculation:
CP = 1140 / (1 + 0.10)
CP = 1140 / 1.10
CP = ₹ 1036.36 (approx)
Cost Price of Fan 2 (5% Loss)
- Selling Price (SP) = ₹ 1140
- Loss Percent = 5%
- Formula: CP = SP / (1 - Loss%)
- Calculation:
CP = 1140 / (1 - 0.05)
CP = 1140 / 0.95
CP = ₹ 1200
Total Cost Price (CP)
- Total CP = CP of Fan 1 + CP of Fan 2
- Total CP = ₹ 1036.36 + ₹ 1200
- Total CP = ₹ 2236.36 (approx)
Total Selling Price (SP)
- Total SP = Selling price of Fan 1 + Selling price of Fan 2
- Total SP = ₹ 1140 + ₹ 1140
- Total SP = ₹ 2280
Overall Gain or Loss
- Gain/Loss = Total SP - Total CP
- Gain/Loss = ₹ 2280 - ₹ 2236.36
- Gain/Loss = ₹ 43.64 (approx)
Gain or Loss Percentage
- Gain Percent = (Gain/Loss / Total CP) * 100
- Gain Percent = (43.64 / 2236.36) * 100
- Gain Percent ≈ 1.95%
Conclusion
The shopkeeper achieves an overall gain of approximately 1.95% from the entire transaction of selling two fans.
To find the overall gain or loss percentage from the sale of two fans, we first need to calculate the cost price (CP) of each fan based on the selling price (SP) and the gain or loss percentages.
Cost Price of Fan 1 (10% Gain)
- Selling Price (SP) = ₹ 1140
- Gain Percent = 10%
- Formula: CP = SP / (1 + Gain%)
- Calculation:
CP = 1140 / (1 + 0.10)
CP = 1140 / 1.10
CP = ₹ 1036.36 (approx)
Cost Price of Fan 2 (5% Loss)
- Selling Price (SP) = ₹ 1140
- Loss Percent = 5%
- Formula: CP = SP / (1 - Loss%)
- Calculation:
CP = 1140 / (1 - 0.05)
CP = 1140 / 0.95
CP = ₹ 1200
Total Cost Price (CP)
- Total CP = CP of Fan 1 + CP of Fan 2
- Total CP = ₹ 1036.36 + ₹ 1200
- Total CP = ₹ 2236.36 (approx)
Total Selling Price (SP)
- Total SP = Selling price of Fan 1 + Selling price of Fan 2
- Total SP = ₹ 1140 + ₹ 1140
- Total SP = ₹ 2280
Overall Gain or Loss
- Gain/Loss = Total SP - Total CP
- Gain/Loss = ₹ 2280 - ₹ 2236.36
- Gain/Loss = ₹ 43.64 (approx)
Gain or Loss Percentage
- Gain Percent = (Gain/Loss / Total CP) * 100
- Gain Percent = (43.64 / 2236.36) * 100
- Gain Percent ≈ 1.95%
Conclusion
The shopkeeper achieves an overall gain of approximately 1.95% from the entire transaction of selling two fans.
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
|
|
Top Courses for Class 8View all
A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.?
Question Description
A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.? 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 A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.?.
A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.? 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 A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.?.
Solutions for A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.? 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 A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.? defined & explained in the simplest way possible. Besides giving the explanation of
A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.?, a detailed solution for A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.? has been provided alongside types of A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.? theory, EduRev gives you an
ample number of questions to practice A shopkeeper sold two fans for ₹ 1140 each. On one he gains 10%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.? 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup