Question

The number 4000 is first increased by 25% and then decreased by 30%. Find the resulting increase or decrease %.

• A.

  10% increase

• B.

  12.5% increase

• C. 12.5% decrease
• D.

  10 % decrease

Answer 1

The correct option is C

12.5% decrease

Given number = 4000 After a 25% increase we get : 4000 + $\frac{25}{100}\times$ 4000 = 4000 + 1000 = 5000 After a 30% decrease we get : 5000 - $\frac{30}{100}\times$ 5000 = 5000 - 1500 = 3500 Since, The resulting number is less than the original number, Overall decrease = 4000 - 3500 = 500 Decrease % = $\frac{500}{4000}\times 100$ = 12.5%