Two successive increments of 30% each is by what percentage more than two successive decrements of 30% each? (Correct to two decimal places)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 35.29%.
We know that,
Single equivalent increase = x + y + [(x × y)/100]
Single equivalent decrease = x + y - [(x × y)/100]
Now, according to the question
Single equivalent increase of 30% each = 30 + 30 + [(30 × 30)/100]
⇒ 30 + 30 + 9 = 69%
Single equivalent decrease of 30% each = 30 + 30 - [(30 × 30)/100] = 51%
Required percentage = [(69 - 51)/51] × 100
⇒ 18/51 × 100 = 35.29%