Question

A man spends `2/5` of his salary on food and `3/10` of the remaining on house rent, electricity, etc. What fraction of his salary is still left with him?

Answer 1

Let the total amount of salary = Rs. 1

Amount spent on food = `2/5` of Rs. 1 = Rs. `2/5`

Remaining amount = `1 - 2/5`

`= (5 - 2)/5 = "Rs." 3/5`

Amount spent on house rent etc.

`= 3/10 "of" 3/5 = "Rs" 9/50`

Remaining amount left = `3/5 - 9/50`

`= "Rs." 3/5 - 9/50`

`= "Rs." (30 - 9)/50 = "Rs." 21/50`

∴ Fraction of amount left = `21/50`