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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)?

SSC · 2024 · Quantitative Aptitude
Question:
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)?

Options

(1) 10% increase
(2) 9% decrease
(3) 10% decrease
(4) 9% increase
Answer: (2) 9% decrease

Explanation:
Net effect = 1.12 × 1.23 × 0.66 = 0.909 ≈ 91%, so 9% decrease.

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