Question

If $29$ workers were paid Rs.$3335$ as wages, then how many workers can be paid with Rs.$4830$ at the same rate?

Answer 1

Hint: We have to find the rate at which each worker is paid the wages. We can find the rate using the unitary method. To find the amount paid to one worker, we will divide the total amount by the total number of workers. So put the values and solve them to get the rate. Now, with this obtained rate we have to find the number of workers to be paid with Rs.$4830$ so we will divide the amount by the obtained rate to get the number of workers.

Complete step-by-step answer:
Given, the number of workers=$29$
These workers were paid the total amount=Rs.$3335$
We have to find the number of workers who are paid the total amount Rs.$4830$provided that the paying rate is the same.
First, we will find the rate at which $29$ workers were paid. Here, Rate means the amount paid to one worker for his work.
So we will use the unitary method to find the rate.
It is given that the amount (wages) paid to $29$ workers= Rs.$3335$
Then to find the amount paid to one worker, we will divide the total amount by the total number of workers
So the amount paid to one worker= Rs.$\dfrac{{3335}}{{29}}$
On dividing the numerator by denominator, we get-
$\Rightarrow$ The amount paid to one worker= Rs.$115$
Now, to find the number of workers who are paid the total amount Rs.$4830$ at the rate with which the $29$ workers were paid, we will divide the amount by the rate.
So the number of workers to be paid the total amount Rs.$4830$ at rate Rs.$115$=Rs.$\dfrac{{4830}}{{115}}$
On dividing the numerator by denominator, we get-
$\Rightarrow$ The number of workers to be paid the total amount Rs.$4830$ at the same rate=Rs.$42$
$42$ workers can be paid with Rs.$4830$ at the same rate.

Note: Here, the students can also solve this question in the following ways-
It is given-Rs.$3335$ is paid to $29$ workers.
Then Rs.$1$ is paid to $\dfrac{{29}}{{3335}}$ workers.
$ \Rightarrow $ Rs.$4830$ is paid to $\dfrac{{29}}{{3335}} \times 4830$ workers
Now on solving this, we get-
$ \Rightarrow $ Rs.$4830$ is paid to $42$ workers