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?

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

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