A price increases 5% due to inflation and is then reduced 10% for a sale. Express the final price as a function of the original price, p.

0.945p

Step-by-step explanation:

Let the original price be p.

Increased price due to inflation = 5% of p

= 0.05 p

Price after increased 5% = p + 0.05p = 1.05p

Reduced price for a sale = 10% of (1.05p)

= 0.1 * 1.05p

= 0.105p

Price after reduction 10% = 1.05p - 0.105p = 0.945p

Hence the final price is 0.945p.