A number is first increased by 12% and then increased by 23%. The number, so obtained, is now decreased by 34%. What is the net increase or decrease percent in the original number (nearest to an integer)?

Question

Accepted Answer

Step 1: Let the original number be 100.
Step 2: Increase by 12%: New value = 100 + 12% of 100 = 100 + 12 = 112.
Step 3: Increase this new value by 23%: New value = 112 + 23% of 112 = 112 + 25.76 = 137.76.
Step 4: Decrease this value by 34%: New value = 137.76 - 34% of 137.76 = 137.76 - 46.8384 = 90.9216.
Step 5: Calculate net change from original 100 to 90.9216.
Net change = 90.9216 - 100 = -9.0784.
Step 6: Percentage change = (Net change / Original) * 100 = (-9.0784 / 100) * 100 = -9.0784% ≈ 9% decrease.

Therefore, the net effect is approximately a 9% decrease in the original number.

Answer

Answer

Answer