Question

A number is decreased by 10% and the resulting number is again decreased by 20%. What is the final percentage of decrease?

Answer 1

Answer:

28%

Hope this helps!

Step-by-step explanation:

Let n be the starting number.

n decreased by 10%

= 90% of n

= 0.9 × n

This number decreased by 20%

= 80% of (0.9 × n)

= 0.8 × 0.9 × n

= 0.72 × n

= 72% of n

The total percentage decrease was

100% - 72% = 28%