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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.?
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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.
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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.?
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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.?.
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