# How do you find the percentage of stock X originally invested?

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$35000 is invested in two stocks X and Y. At the end of the investment period, the value of stock X has increased by 11% and that of stock Y decreased by 4% with the total value of the combined stocks being $36560. What percentage of the original split was invested in stock X?

$35000 is invested in two stocks X and Y. At the end of the investment period, the value of stock X has increased by 11% and that of stock Y decreased by 4% with the total value of the combined stocks being $36560. What percentage of the original split was invested in stock X?

##### 1 Answer

Let

Let

We want to determine

Starting with the first equation, subtract

Then working backwards through our equations, we find...

Subtract

Divide both sides by

As a percentage this is

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