Question

The value of a rare baseball card A appreciated by 20 percent over a five year period; over the next five years, the value plummeted by 50 percent. Over the same total time period, the value of another card B increased by 100%. At the end of ten years, the reduced value of A was what percent of the increased value of B?

Answer 1

Percent value of A with respect to Percent value of B is,

`30\%`

Explanation:

In the question,

Let us say the value of the Baseball card A and B initially is = 100x

So, for Baseball card A in first 5 years percent increase = 20%

So,

Value after 5 years = 100x + 20% of 100x = 120x

After 5 more years,

Percent decrease = 50%

So,

Value at the end of 10 years = 120x - 50% of 120x = 60x

Now,

For Baseball card B, Percent increase in 10 years = 100%

So,

Value of card B = 100x + 100% of 100x = 200x

So,

Percent value of A with respect to Percent value of B is,

`(60x)/(200x)* 100=30\%`