For an amount, explain why, a 20% increase followed by a 20% decrease is less than the original amount

Solution:

Let the original amount be Rs. 100

Increase of 20% will yield an amount = 1.20 × 100  = Rs. 120

If the new amount is decreased by 20% it will yield = Rs. 0.80 × 120 = Rs. 96

The original amount was = Rs. 100

Hence the final amount is less than the original amount

✦ Try This: For an amount, explain why, a 25% increase followed by a 25% decrease is less than the original amount.

Let the original amount be Rs. 100

Increase of 25% will yield an amount = 1.25 × 100  = Rs. 125

If the new amount is decreased by 25% it will yield = Rs. 0.75 × 125 = Rs. 93.75

The original amount was = Rs. 100

Hence the final amount is less than the original amount

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 9 Problem 112

For an amount, explain why, a 20% increase followed by a 20% decrease is less than the original amount

Summary:

For an amount, a 20% increase followed by a 20% decrease is less than the original amount

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