Question

Gopal purchased 3 meters 400 cm cloth for shirts and 1 meter 750 cm for trousers, then how much cloth he has purchased?

Answer 1

Hint:The measurements of the cloth for shirts and trousers is given in meters and cm. We will convert the measurements into one of the two units. We have to find the total quantity of the cloth purchased by Gopal. So, we will add the measurements of cloth for shorts and trousers to get the required answer.

Complete step by step answer:
The quantity of cloth for shirts is given as 3 meters 400 cm and the quantity of cloth for trousers is given as 1 meter 750 cm. We know that 1 meter is 100 cm. We will use this fact to convert the given measurements into one unit. For our convenience, let us convert meters into cm. To do this, we have to multiply the quantity of meters by 100. So, 3 meters becomes 300 cm and 1 meter is 100 cm.
Now, the measurements of the cloth for shirts and trousers in one unit will be as follows:
For shirts, the cloth is $\text{3 meters 400 cm = 300 cm + 400 cm = 700 cm}$ and for trousers, the measurement of the cloth is $\text{1 meter 750 cm = 100 cm + 750 cm = 850 cm}$.
We have to find the total quantity of cloth purchased. So, we will add the measurements of cloth for shirts and trousers. Therefore, we have
$\begin{align}
  & \text{Total quantity of cloth = 700 cm + 850 cm} \\
 & \text{=1550 cm}
\end{align}$
The total quantity of cloth purchased is 1550 cm. We can write it as 15 meters 50 cm.

Note:
 In this question, we converted the measurements from meters to cm. Though this question can also be solved by converting cm to meters by multiplying the quantity of cm to 0.01. We can also solve this question simply by adding the number of meters and quantity of cm separately for both shirts and trousers.