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%