Question

A woman spent 1/4 of her salary on rent. 1/3 of the remaining on food and 2/5 of the rest on transport. If she has 5000 naira left, what is her monthly salary?

Answer 1

she spent (1/4) + (1/3 * 3/4) + (2/5 * 1/2) = 19/30

so, 11/30 x = 5000

Answer 2

Fred spent 2/9 of his paycheck on food and ⅓ on rent. He spent ¼ of the remainder on gas. After all that, he had $210 left. How much was his paycheck?

Answer 3

Let her salary be x
Then 1/4 of x is salary i.e 1/4x
Then 1/3 of the remainder on food i.e 1/3× (1-1/4) on food =1/3×3/4=1/4
Then the rest is i.e 1-1/4-1/4 or 3/4-1/4=1/2
Then now amount on transport is 2/5×1/2=1/5
If she has 5000 left i.e 1-1/4-1/4-1/5=6/30 i.e 3/10
Then now we can say 3/10x=5000
Cross mulitiplying we get
X= 5000×10÷3
X=16666.67 naira
Thanks