Question

A man spends 87% of his salary. If he saves Rs. 325; find his salary.

Answer 1

Let salary = Rs. x
∴ Expenditure = `(87)/(100)` of x

= Rs. `(87x)/(100)`

Saving = Rs. 325

∴ `x - (87x)/(100)`

= 325

⇒ `(100x - 87x)/(100)`

= 325

⇒ `(13x)/(100)`

= 325

⇒ x = `(325 xx 100)/(13)`

⇒ x = `(32500)/(13)`

⇒ x = 2500

∴ Salary = Rs. 2500

Answer 2

Use the savings percentage to express his salary

Let the salary be x. His savings, which are 13% of his salary, can be expressed as:

Savings = `13/100xx x = 325`

Solve for x (the salary)

Rearrange the equation:

`x = (325xx100)/13`

`x = 32500/13 = 2500`

Verify the result

If the salary is Rs. 2500, 13% savings would be:

`13/100xx2500 = 325`

The man's salary is: Rs. 2500