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

A.102%

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 =
`(final\;price)/(Initial\;price)* 100`

By using this formula

Then, we get

Percent of the original price=
`(102)/(100)* 100`

Percent of the original price=102%

Option A is true.