A house increases by 25% to £80,000. Find what it was worth before the rise.

A 15% increase means that the £80,000 represents 115% of the original value.

Therefore what we do is:

£80,000=£125% divided by 125 

which gives us 

£640 = 1%

then we want to multiply by 100 to change this to what we get for 100%, which gets us to:

£64,000!

So the orginal price was £64,000.

We can check that this answer makes sense: we know that there is an increase so it makes sense to get an original value less than the increased value!

(Note: I like to illustate this method with the use of a diagram which I would be able to do on the whiteboard in session mode).

AP
Answered by Alicia P. Maths tutor

3995 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve algebraically the simultaneous equations: x^2 + y^2 = 25 and y – 3x = 13


When using trigonometry to calculate side lengths/angles, how do you know which identity to use?


what is the value of 27 to the power of -2/3


How do I solve a quadratic equation?


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:

© 2025 by IXL Learning