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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?

Views

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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