Sandra invested a certain amount of money.

In the first year the investment reached 110% of its initial value.

She spent 20% of the profit to buy a tennis racket and 1/8 of what was left she spent on a tennis outfit.

140 euros remain from the profit.

How much had Sandra invested?

**The answer is 2000 euros, but why?**

**What is the way to solve the problem?**

Guest Jan 8, 2021

#1**0 **

Let the total amount invested =M

At the end of the year the investment was worth =1.1M

1.1M - M =0.10M - profit made

She spent 20% on tennis racket, which means she still had 80% left.

0.8 *0.10M =0.08M left

She spent 1/8 on tennis outfit, which means she still had 7/8 left.

7/8 * 0.08M =0.07M left

0.07M =140, solve for M

M =140 /0.07

**M =2,000 Euros - initial amount invested.**

Guest Jan 8, 2021