A number is first increased by 12% and then increased by 23%. The number, so…
2024
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)?
- A.
10% increase
- B.
9% decrease
- C.
10% decrease
- D.
9% increase
Attempted by 53 students.
Show answer & explanation
Correct answer: B
Assume the original number = 100.
Apply successive changes using multipliers:
Increase by 12%: 100 × 1.12 = 112
Increase by 23%: 112 × 1.23 = 137.76
Decrease by 34%: 137.76 × (1 - 0.34) = 137.76 × 0.66 ≈ 90.92
Calculate net change: 90.92 - 100 = -9.08
Conclusion: The result is approximately a 9% decrease.
Final Answer: Option 2