Question

If the landowner gives one-fourth of his yield of charity rice to charity, how much yield is left with him? What value is exhibited by the owner?

Answer 1

Hint:
Start with assuming the whole quantity of yield of rice as some variable $'m'$ . Now find the one-fourth of $'m'$ which represents the quantity given by the owner in charity. Now subtract this quantity from the whole, i.e. $'m'$ , to find the remaining yield of rice.

Complete step by step solution:
Here in this problem, we are given a situation where a landowner gives one-fourth of his yield of rice for charity. Now with this information, we need to find how much yield is left with the landowner.
Before starting with the solution we need to understand the concept of fractions. Fractions represent equal parts of a whole or a collection. When we divide a whole into equal parts, each part is a fraction of the whole.
A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator. It shows the total divisible number of equal parts the whole into or the total number of equal parts that are there in a collection.
So for the given scenario, let us assume that the whole quantity of yield of rice is represented by $'m'$
$ \Rightarrow $ The owner gives one-fourth of $m$ to charity, i.e. if we divide $m$ into four equal parts then the amount in one part of the whole was given to charity.
When the whole is divided into four parts, one part will be represented as $ \Rightarrow \dfrac{m}{4} \times 1 = \dfrac{m}{4}$
For finding the remaining part in the whole, we need to subtract the fraction from the whole
$ \Rightarrow m - \dfrac{m}{4} = \dfrac{{3m}}{4}$
Therefore, the remaining part of the yield of rice is given by $\dfrac{{3m}}{4}$ .
This means out of those four equal parts, three parts are remaining with the owner after charity.
Hence, three fourth of the yield of rice is remaining with the owner.
The values shown by the owner are helpfulness and kindness.

Note:
In questions like this, it is always wise to analyze the scenario carefully. The assumption of the whole quantity as $'m'$ made the usage of mathematical operations easier. This technique helped us represent the yield in a quantified form. The fraction $\dfrac{1}{4}$ is represented by one-fourth and the fraction $\dfrac{3}{4}$ will represent three-fourth.