Math CentralQuandaries & Queries


Question from Conor, a student:

Hello there!

I was wondering if you could help me with this question which I have for homework.

a) A T.V. is offered at a sale price of £460. If the reduction was 8%, what was the original price of the T.V.?

Thank you very much for your time.


Hi Conor,

I bought a high end TV. I got 15% off but it still cost £510. Thus the original price was divided into two parts, the reduction, 15% and what it cost me £510. Since the reduction was 15% of the original price, what I paid must be 100% - 15% = 85% of the original price. Thus

85% of the original price is £510.

That is

85/100 × the original price = £510 or 0.85 × the original price = £510.


the original price = £510/0.85 = £520600.

I hope this helps,

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