Question

If the price of an article rose by 33.33% every odd year and fell by 25% every even year, what would be the percentage change after 100 years?

Answer 1

Given:

The price of an article rose by 33.33% every odd year and fell by 25% every even year

To find:

Effective change after 100 years.

Solution:

the ratio for 33.33% is 1/3 and for 25% is 1/4

So the change in the odd year is increased by 33.33%

so the ratio will be like this:

• Old price - 3
• Increased by - 1
• New price - 4

Now, the change in the even year is decreased by 25%

so the ratio will be like this:

• Old price - 4
• Decreased by - 1
• New price - 3

So the price will again 3, there is no change in 2 consecutive years

and we have to find for 100 years which is the multiple of 2 only.

so in the 100 years also there will be no change in the price of the article.

Effective change after 100 years is 0%.