Question

A's and B's combined monthly salaries amount to $ 45,000. A spends 80% of his salary and B
spends 75% of his. If their savings are the same, find A's salary.​

Answer 1

Step-by-step explanation:

3,600 A's salary this is the salary of A

Answer 2

A's salary is $25,000.

Given,

The combined salary of A and B = $45,000.

A spends 80% of his salary, and,

B spends 75% of his salary.

To find,

A's salary.

Solution,

Firstly, let A's salary be $x, and B's salary be $y.

The combined salary of A and B is given as $45,000.

$\implies x+y=45000$     ...(1)

It is given that A spends 80% of his salary.

⇒ A's savings = 20% of his salary

⇒ A's savings = 20% of x.

Further, B spends 75% of his salary.

⇒ B's savings = 25% of his salary

⇒ B's savings = 25% of y.

Since savings of both A and B are the same,

A's savings = B's savings

⇒ 20% of x = 25% of y.

$\implies \frac{20}{100} x=\frac{25}{100} y$

$\implies 20x=25y$

Simplifying,

$4x=5y$     ...(2)

From equation (1), we have,

$y=45000-x$

Substituting this value of $y$ in eq. (2), we get,

$4x=5(45000-x)$

Simplifying the above equation,

$4x=225000-5x$

$\implies 9x=225000$

⇒ x = 25000.

⇒ A's salary = $25,000.

Therefore, A's salary is $25,000.