Calculate the Final Price: Air Conditioner’s Cost After 10% Increase and 15% Decrease

Because percentage changes are sequential, not simultaneous! The 15% decrease applies to the increased price of $2750, not the original$2500. This makes a big difference in your final answer.

To increase by 10%, multiply by 1.10 (which is 1 + 0.10). For any percentage increase, use $1 + \frac{\text{percentage}}{100}$

To decrease by 15%, multiply by 0.85 (which is 1 - 0.15). For any percentage decrease, use $1 - \frac{\text{percentage}}{100}$

You'd get a different answer! If we decreased first (15%) then increased (10%): 2500 \times 0.85 \times 1.10 = \2337.50 \). Interestingly, it's the same because multiplication is commutative!

Yes! You can multiply the original price by both factors at once: 2500 \times 1.10 \times 0.85 = \2337.50 \). This works because you're applying both changes sequentially.

The final price should be less than the original since the 15% decrease is larger than the 10% increase. Also, verify: $2337.50 is indeed less than$2500 ✓