Gujarat BoardEnglish MediumSTD 8MATHSComparing Quantities3 Marks
Question
For an amount, explain why, a $20\%$ increase followed by a $20\%$ decrease is less than the original amount.
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Answer
Let the original amount $= Rs. 100 20 \%$ increase in Rs. $100$
will be$=100+\frac{20}{100}\times100$$=100+20=\text{Rs.} \ 120$
Now, $20\%$ decrease in$\text{Rs}. \ 120=120-\frac{20}{100}\times120=120-24=\text{Rs}. \ 96$
Hence, decreased price is less than the original amount.
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