Find a single discount equivalent to the successive discount of 12%, 20%, 24%, and 32%. (Correct to two places of decimals)

Let the initial marked price be 100.
After a 12% discount, the price becomes:

100×(1−
100
12
​
)=100×0.88=88
After a 20% discount on the remaining amount:

88×(1−
100
20
​
)=88×0.80=70.4
After a 24% discount on the remaining amount:

70.4×(1−
100
24
​
)=70.4×0.76=53.504
After a 32% discount on the remaining amount:

53.504×(1−
100
32
​
)=53.504×0.68=36.38272
The final price is 36.38272.
The single equivalent discount is:

Equivalent Discount=100−36.38272=63.61728%≈63.62%