Question

Anamika is 25 years old. If
Rahul's age is 25% greater than
that of Anamika, then how muc
percent Anamika's age is less
than Rahul's age?
O 0.00
O​

Answer 1

Answer: Anamika's age is 20% less than that of Rahul's age.

Step-by-step explanation: Given that Ankita is 25 years old and Rahul's age is 25% greater than than of Anamika.

We are to find the percentage by which Anamika's age is less than Rahul's age.

Let x represents the age of Rahul in years.

Then, according to the given information, we have

x=25+25\%\times 25=25+\dfrac{25}{100}\times25=25+6.25=31.25.x=25+25%×25=25+

100

25

×25=25+6.25=31.25.

So, Rahul's age is 31.25 years.

Therefore, the percentage by which Anamika's age is less than Rahul's age is given by

\begin{gathered}\dfrac{31.25-25}{31.25}\times100\%\\\\\\=\dfrac{6.25}{31.25}\times100\%\\\\\\=0.2\times100\%\\\\=20\%.\end{gathered}

31.25

31.25−25

×100%

=

31.25

6.25

×100%

=0.2×100%

=20%.

Thus, Anamika's age is 20% less than that of Rahul's age.