Question

Ila read $25$ pages of a book containing $100$ pages. Lalita read $\dfrac{2}{5}$ of the same book. Who read less?

Answer 1

Hint: We need to find the value of $\dfrac{2}{5}$ of $100$ in order to find the number of pages Lalita read. Then we will compare the number of pages Ila read with the number of pages Lalita read.

Complete step-by-step answer:
Let us consider the given problem. We are given a book that contains $100$ pages. As we can see in the problem, Ila read $25$ pages out of the $100$ pages of the book. It is also given that Lalita read $\dfrac{2}{5}$ of the same book. We need to find who read less.
Let us write the number of pages Ila read. That is, $25$ pages.
We can see that Lalitha read $\dfrac{2}{5}$ of the book. So, we need to find the value of $\dfrac{2}{5}$ of $100$ in order to find the number of pages Lalita read.
So, to find that, we need to multiply $\dfrac{2}{5}$ with $100.$
As a result, we will get $\dfrac{2}{5}\times 100.$
We know that $20\times 5=100.$ So, we will get $\dfrac{100}{5}=20.$
When we apply this, we will get $\dfrac{2}{5}\times 100=2\times 20.$
From this, we will get the value $2\times 20=40.$
Thus, we have obtained the number of pages Lalita read.
So, the number of pages Lalita read out of the $100$ pages in the book is $40.$
We know that $40$ is greater than $25.$
So, we can say that the person who read $40$ pages of the book has read more and the person who read only $25$ pages of the book has read less.
Hence, Ila read less.

Note: So, let us not forget that to find $\dfrac{p}{q}$ of a number $n,$ we need to multiply $\dfrac{p}{q}$ with $n.$ When we are asked to compare two values, it is best to make them both in the similar form. As we already know, $25$ is $\dfrac{25}{100}=\dfrac{1}{4}$ of $100.$