The total decrease of price percentage is 16.4% when the price was decreased by 12% .
Evaluating decrease price :
The first discount reduces the price to (100 - 12)%
= 88% which is 0.88 times the original price.
The second discount reduces the already discounted price to
(100 - 5)% =
95% of the discounted price
(0.95 times the discounted price). Get 2 discounts combined
Final Price = (0.95)(0.88) x (Original Price)
= 0.836 x (Original Price)
This is 83.6% of the original price, so the total discount rate is
(100 - 83.6)%
= 16.4%.