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A number is first increased by 12%, and the increased number is decreased by 8%. Findthe net increase or decrease percentage.
Question

A number is first increased by 12%, and the increased number is decreased by 8%. Findthe net increase or decrease percentage.

A.

2.08% increase

B.

2.08% decrease

C.

3.04% increase

D.

3.04% decrease

Correct option is C

Given:

The first percentage increase (x) = 12%

The second percentage decrease (y) = 8%

Formula Used:

Net percentage change = x+y+xy100 x + y + \frac{xy}{100}​​

Solution:

Net percentage change = 12+(8)+12×(8)10012 + (-8) + \frac{12 \times (-8)}{100}​​

=128+96100= 12 - 8 + \frac{-96}{100}​​

= 12 - 8 - 0.96

= 3.04

Therefore, the net percentage increase of 3.04%

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