Question

A's salary is 20% less than B's and B's salary is 20% more than C's. If the sum of the salaries of A and B is Rs 5,400, than find the salary of C.

Answer 1

let salary of C be x.

B salary is 20% more of C .

20% of C salary =

$x \times \frac{20}{100}$

$\frac{1}{5} x$

B salary is =

$x + \frac{1}{5} x$

$\frac{6x}{5}$

A salary is 20% less than of B' salary

20% of B Salary =

$\frac{20}{100} \times \frac{6x}{5}$

$\frac{6x}{25}$

A salary =

$\frac{6x}{5} - \frac{6x}{25}$

$\frac{30x}{25} - \frac{6x}{25}$

$\frac{24x}{25}$

According to question ,

A and B sum Salary is 5400.

$\frac{24x}{25} + \frac{6x}{5} = 5400$

$\frac{24x}{25} + \frac{30x}{25} = 5400$

$\frac{54x}{25} = 5400$

$x = 5400 \times \frac{25}{54}$

$x = 100 \times 25$

$x = 2500$

Means Salary of C is 2500 .