Step 1: Let's denote Raj's original salary as X. Since Raj saves 50% of his salary, his savings are 0.5X.

Step 2: If his salary decreases by 10%, his new salary becomes 0.9X. Since his savings decrease by $300, his new savings are 0.5X - $300.

Step 3: However, since he still saves 50% of his new salary, his new savings are also 0.5 * 0.9X = 0.45X.

Step 4: Now we can set up the equation 0.5X - $300 = 0.45X.

Step 5: If we simplify this equation, we get 0.05X = $300.

Step 6: Solving for X, we find that X = $300 / 0.05 = $6000.

So, Raj's original salary is $6000.

Question

Step 1: Let's denote Raj's original salary as X. Since Raj saves 50% of his salary, his savings are 0.5X.

Step 2: If his salary decreases by 10%, his new salary becomes 0.9X. Since his savings decrease by $300, his new savings are 0.5X - $300.

Step 3: However, since he still saves 50% of his new salary, his new savings are also 0.5 * 0.9X = 0.45X.

Step 4: Now we can set up the equation 0.5X - $300 = 0.45X.

Step 5: If we simplify this equation, we get 0.05X = $300.

Step 6: Solving for X, we find that X = $300 / 0.05 = $6000.

So, Raj's original salary is $6000.

Knowee AI · Accepted Answer

Step 1: Let's denote Raj's original salary as X. Since Raj saves 50% of his salary, his savings are 0.5X.

Step 2: If his salary decreases by 10%, his new salary becomes 0.9X. Since his savings decrease by $300, his new savings are 0.5X - $300.

Step 3: However, since he still saves 50% of his new salary, his new savings are also 0.5 * 0.9X = 0.45X.

Step 4: Now we can set up the equation 0.5X - $300 = 0.45X.

Step 5: If we simplify this equation, we get 0.05X = $300.

Step 6: Solving for X, we find that X = $300 / 0.05 = $6000.

So, Raj's original salary is $6000.

Raj always saves 50% of his salary. If his salary decreases by 10% , his savings will decrease by $300. How much is Raj's original salary?