Consider the following statements I. A 10% increase followed by a 10% decrease returns the original number.

Question

Consider the following statements:

I. A 10% increase followed by a 10% decrease returns the original number.

II. 50% of 200 is 100.

III. If a number is increased by 20%, then decreased by 20%, the final result is less than the original.

IV. 200% increase means tripling the number.

Which is/are correct?

1. A. Only I and II
2. B. Only II and III
3. C. Only III and IV
4. D. Only II, III, and IV (Correct answer)

Correct Answer

Option D — Only II, III, and IV

Detailed Solution & Explanation

The correct answer is Only II, III, and IV.

Key Points

• Statement I is FALSE: 100->110->99 (not 100).
• Statement II is TRUE: 50% of 200=100.
• Statement III is TRUE: 100->120->96 (less than 100).
• Statement IV is TRUE: 200% increase = original + 2x original = 3x original (triple).