Question

The price of a certain painting increased by 20% during the first year and decreased by 15% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price?
A. 102%B. 105%C. 120%D. 135%E. 140%

Answer 1

Answer:

A.102%

Step-by-step explanation:

Let cost price of painting=$100

In first year price increased 20%

Then , the price=$100+100(0.20)=$$120

In second year

Price decreased 15%

Then , the price of painting=$120-120(0.15)$

The price of painting=$102

Percent =$\frac{final\;price}{Initial\;price}\times 100$

By using this formula

Then, we get

Percent of the original price=$\frac{102}{100}\times 100$

Percent of the original price=102%

Option A is true.