At a sale goods are marked down by 5 pence in the pound. What was the original price of an article marked £2.85?
Answers
Answer:
£2.90 if it is a straight deduction.
£3.00 if it is a ratio of pence to original pounds
Explanation:
A "discount" OR "markup" is usually calculated as a percentage of an original value. A percentage is the ratio of the change to the original value, times 100 to make a "normalized" (easy to compare) "per cent" (parts in 100). For the calculation of the change, the actual decimal value of the ratio must be used.
The equation for a final price is:
Original Price + (Original Price x increase or decrease ratio)
In this example we have the final price and the amount of the decrease, so this simplifies to:
Final Price = Original Price + Change (negative for markdown, positive for markup)
PF=PO+Pc ; 2.85=PO−0.05
PO=2.85+0.05=2.90
Now, IF you meant the reduction was 5 pence per original pound, that would be a change of 5100=0.05=5%
In that case we need to know the relative change of 5% in the original price. Similar to the previous calculation:
Final Price = Original Price + Change
where Change in this case is PO×−0.05
PF=PO+Pc ; 2.85=PO−(PO×−0.05)
2.85=PO×(1−0.05) ; 2.85=PO×(0.95)
PO=2.850.95=3.00
Please mark my answer as brainliest answer