A shopkeeper incurred a loss of 5 percentage on an item sold for Rs 7600.find the original price of an item
Answers
Step-by-step explanation:
95%=7600
as100-5=95
let the original valu be x
95%ofx=7600
95/100x=7600
95x=760000
x=760000÷95
x=8000
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The original price of the item is Rs. 8000
Given : A shopkeeper incurred a loss of 5 percentage on an item sold for Rs 7600.
To find : The original price of the item.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the original price)
Let, the original price = Rs. x
5% loss on the original price = x × 5% = x × (5/100) = Rs. x/20
Selling price :
= Original price - Loss amount
= x - (x/20)
= (20x - x)/20
= Rs. 19x/20
According to the data mentioned in the question,
19x/20 = 7600
x = 7600 × (20/19)
x = 8000
Original price = Rs. x = Rs. 8000
Hence, the original price of the item is Rs. 8000