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By what per cent is Rs 2,000 less than Rs 2,400? Is it the same as the per cent by which Rs 2,400 is more than Rs 2,000?

Q: 2  By what percent is Rs 2,000 less than Rs 2,400? Is it the same as the percent by which Rs 2,400 is more than Rs 2,000?

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Difference between Rs 2400 and Rs 2000 = Rs 2400- Rs 2000 = Rs 400 

\therefore  The per cent by which Rs 2,000 is less than Rs 2,400 is

\\ \frac{400}{2400}\times 100=16.66 \%\\ (Less with respect to 2400. Hence, 2400 will be in the denominator!)

Rs 2000 is less than Rs 2400 by 16.66%

Now,

\therefore  The per cent by which Rs 2,400 is more than Rs 2,000 is

\frac{400}{2000}\times 100=20 \%        (More with respect to 2000. Hence, 2000 will be in the denominator!)

Rs 2400 is more than Rs 2000 by 20%

 

Therefore, they are not the same.

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