Question

If 175 dollars cost Rs.7350 how many dollars can be purchased in Rs.24024?

Answer 1

Hint: In this question, we are given the amount in the dollar for Rs.7350. We need to find the amount in dollars for Rs.24024. For this, we will first find the amount in dollars for Rs.1 by dividing, and then we will find the amount in dollars for Rs.24024 by multiplying. This method is called a unitary method.

Complete step by step answer:
Here we are given the amount of Rs.7350 as 175 dollars and we need to find the amount in dollars for Rs.24024.
Let us find the number of dollars that can be purchased by Rs.1.
The number of dollars that can be purchased in Rs.7350 = 175 dollars.
So the number of dollars that can be purchased in Rs.1 = 175÷7350 $ \Rightarrow \dfrac{175}{7350}\text{dollars} $ .
Dividing by 5 in the numerator and denominator we get, $ \Rightarrow \dfrac{35}{1470}\text{dollars} $ .
Dividing the numerator and denominator by 5, we get, $ \Rightarrow \dfrac{7}{294}\text{dollars} $ .
Dividing the numerator and denominator by 7, we get, $ \Rightarrow \dfrac{1}{42}\text{dollars} $ .
Therefore the number of dollars that can be purchased in Rs.1 $ \Rightarrow \dfrac{1}{42}\text{dollars} $ .
Now let us find the number of dollars that can be purchased in Rs.24024.
Number of dollars for Rs.24024 $ \Rightarrow \text{number of dollars for Rs}.\text{1}\times \text{24024} $
 $ \begin{align}
  & \Rightarrow \dfrac{1}{42}\times 24024\text{ dollars} \\
 & \Rightarrow 572\text{ dollars} \\
\end{align} $
Hence the number of dollars that can be purchased in Rs.24024 are 572 dollars.

Note:
Students should know when we have to divide and when to multiply. Don't get confused between rupees and dollars. Take care while dividing and multiplying large numbers. Make sure to write units as Rs. or dollars.