Question

The gross salary was increased twice during the year. First by 8%, then again by 10%.

Its final amount was 10,098. Calculate the amount of the original gross salary.

Answer 1

$8,500

Explanation:

Let the original gross salary be "X" dollars.

First, it was increased by 8%, which can be calculated as 1.08 times the original salary:

1.08 * X

Then, this new amount was increased by 10%, which can be calculated as 1.10 times the previous amount:

1.10 * (1.08 * X)

The final amount is given as $10,098:

1.10 * 1.08 * X = 10,098

Now, solve for X:

1.188 * X = 10,098

Divide both sides by 1.188 to find X:

X = 10,098 / 1.188

X ≈ 8,500

So, the original gross salary was approximately $8,500.