A man sold two articles at rs 375 each.on the first article he gained 25% and on the other he lost 25%.how much he gain or lose in the whole transaction?. Also find the gain or loss percent in the whole transaction.
Answers
Given that:
- A man sold two articles at Rs 375 each.
To Find:
- How much he gain or lose in the whole transaction?
- Also find the gain or loss percent in the whole transaction.
Abbreviations used:
- CP₁ = Cost price of first article
- CP₂ = Cost price of other article
- CP = Total cost price
- SP' = Selling price of each article
- SP = Total selling price
On the first article,
Finding the cost price at 25% gain:
CP₁ = (SP' × 100)/(100 + gain)
↣ CP₁ = (375 × 100)/(100 + 25)
↣ CP₁ = 37500/125
↣ CP₁ = 300
On the other article,
Finding the cost price at 25% loss:
CP₂ = (SP' × 100)/(100 - loss)
↣ CP₂ = (375 × 100)/(100 - 25)
↣ CP₂ = 37500/75
↣ CP₂ = 500
Finding the total selling price:
SP = SP' + SP'
↠ SP = 375 + 375
↠ SP = 750
Finding the total cost price:
CP = CP₁ + CP₂
↠ CP = 300 + 500
↠ CP = 800
We know that:
- When selling price is less than cost price then there is loss.
Finding the loss:
Loss = CP - SP
↠ Loss = 800 - 750
↠ Loss = 50
Therefore,
- He losses Rs. 50 in the whole transaction.
Finding the loss percentage:
Loss % = (Loss × 100)/CP%
↠ Loss % = (50 × 100)/800%
↠ Loss % = 5000/800%
↠ Loss % = 6.25%
Hence,
- The loss percent in the whole transaction is 6.25%.
Answer: +25-25+(25*-25)/100=-6.25%
Step-by-step explanation: