Question

10. What single discount is equivalent to two successive discounts of 9% and 14%?

Answer 1

.86(.91x)
78.26%
Discount would be 21.74%

Answer 2

can you please explain how you got this answer. I ended up with something totally different

Answer 3

discount of 9% is same as 100% - 9% or 91% of current price
assume starting price is 100
after first discount, new price = 100*(1-.09) = 100*.91 = 91
2nd discount of 14% is applied to this new price of 91
final price = 91*(1-.14) = 91*.86 = 78.26
total discount is how much we took away from starting price
100*(1-d) = 78.26
1-d = .7826
d = 1-.7826
d= .2174 or 21.74%