# A TV priced at 800 was reduced by 20% in a sale. On the last day it was reduced by a further 10%. How do you find out the overall percentage reduction in price?

Nov 21, 2016

Overall reduction percentage was 28%.

#### Explanation:

Sale price was $800 \cdot \left(1 - 0.2\right) = 800 \cdot 0.8 = 640$ unit

Sale price on last day was $640 \cdot \left(1 - 0.1\right) = 640 \cdot 0.9 = 576$ unit

Initial price was $800$ unit

Final price was $576$ unit

Overall reduction was $800 - 576 = 224$ unit.

Overall reduction percentage was 224/800*100=28%. [Ans]