Question

After taxes, Sally takes home a salary of J = $5000 every month. She pays P percent of this to her rent and all her fixed bills each month, leaving her with K left. She spends half of K on groceries, leaving her with L left. If she spends \dfrac{1}{3} ​3 ​ ​1 ​​ of L on gifts and puts \dfrac{2}{5} ​5 ​ ​2 ​​ of L into her savings account, this would leave her with $200 for miscellaneous expenses. What is the value of P?

Answer 1

The answer to this question is 70.

Step-by-step explanation:

Answer 2

The correct answer is "The value of P is $3,500 and it corresponds to 70% of her salary"

Step-by-step explanation:

First we need to calculate L

1/3 or 33.33% of L spend on gift

2/5 or 40% of L spent on savings

This would leave her with $200 for miscellaneous expenses

=100% - (33.33% + 40%)

=100% - 73.33%

=26.67%

So 26.67% = $200 for miscellaneous expenses

Rule of three, to calculate L

26.67% ------------ $200

100% --------------- ?

=(100 X 200) ÷ 26.67

=20000 ÷ 26.67

= $750

L= $750

Now we going to calculate K

"K is twice the amount of L"

K = L X 2

K = 750 X 2

K= $1,500

Finally we going to calculate P

P = J - K

J = $5,000

K = $1,500

P =$5,000 - $1500 = $3,500

Rule of three

5000 -------- 100%

3500---------- ?

=3500 x 100 ÷ 5000

=350000 ÷ 5000

P=70%

The value of P is $3,500 and it corresponds to 70% of her salary