Question

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.

Answer 1

Answer:

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.