How to find an original price from a reduced percentage.

Take the example: 'The price of a TV is reduced to 69% and is now £379.50. Find the original price. (This means find the price when it was at 100%.) Let's start by calling each percentage a 'part'. The new price is 69 out of 100 parts, but we want to find the value of the full 100. You could find the value of one part, by dividing 69% by 69, hence diving £379.50 by 69. This gives £5.50. Now find the value of 100 parts by multiplying the value by 100. This gives £550. Putting this into a formula, you could say: Original price= 100/New percentage

PE
Answered by Phoebe E. Maths tutor

13007 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to solve the simultaneous equations 3x+2y=7 and 5x+y=14


A shop sells bags of crisps in different size packs. There are 18 bags of crisps in a small pack (£4), 20 bags of crisps in a medium pack (£4.99) and 26 bags of crisps in a large pack (£6). Which size pack is the best value for money?


A circle has the equation x^2 + y^2 = 25. There is a point P on this circle with coordinates (4,3). A line is drawn tangental to the circle at point P. This line crosses the x axis at point Q. Find the co-ordinates of Q.


Make x the subject of the equation. 7xy+6 = 18x+3y+7


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning