Question

By what percent will the product of two numbers increase if one of them is increased by 15% and the other is increased by 40%?

Answer 1

Answer:

61% increase

Step-by-step explanation:

Product of two numbers = x * y = xy

(x + 15%) * (y + 40%)

Due to the fact that x and y are variables, we can add the percents to them

1.15x * 1.4y

Multiply

1.61xy

Calculate percent increase

1.61xy (new amount) - xy (original amount)

------------------------------------------------------------      * 100

                   xy (original amount)

Simplify

.61xy

---------  * 100      =     61%

  xy

61% increase

Hope this helps :) Let me know if you have any questions about my answer.