Question

8.3.5 Ana's monthly salary was $2000 in May. In June, she received a 20% raise. In July, she received a 20% pay cut. After the two changes in June and July, what was Ana's monthly salary?

Answer 1

After July, Ana's monthly salary was $1920

Explanation:

In May, Ana's monthly salary was $2000. During the next month, the salary increased by 20%, or (0.2)(2000)

`2000+(0.2)(2000)=2000+400=2400`

So, in June, Ana's monthly salary was $2400. During the next month, the salary decreased by 20%, or (0.2)(2000)

`2400-(0.2)(2400)=2400-480=1920`

Therefore, after the two changes, Ana's monthly salary was $1920

Answer 2

Now Ana's monthly salary is 1920$.

Explanation:

Given: Ana's salary in may =2000$

in June she received 20% raise

in July she received 20% pay cut.

To find Ana's monthly salary after the two changes in June and July.

we have to first find Ana's salary at the end of June month with 20% raise. and then her salary after the end of July month with the pay cut of 20%.

Step 1 of 2

Ana's salary after June month when she got 20% raise in his salary after May is equal to

`=2000+(20 \% \cdot 2000)$\\ $=2000+\left((20)/(100) \cdot 2000\right)$\\ $=2400 \$$`

her new salary after May will be 2400$.

Step 2 of 2

now she got a pay cut of 20% on his new salary from July month

so, her salary after that would be equal to

`=2400-(20 \% \cdot 2400)$\\ $=2400-\left((20)/(100) \cdot 2400\right)$\\ $=2400-480$\\ $=1920 \$$`