Question

A laborer earns Rs \[56,700\] in \[26\] weeks. How much money will he earn in a year (\[52\] weeks).

Answer 1

Hint: We will apply a unitary method. By the given information, at first, we will find the income of the person for a week. Then we will multiply with the total week to find his income for annum.

Complete step-by-step answer:
It is given that a laborer earns Rs \[56,700\] in \[26\] weeks.
We have to find the income of the person yearly.
We will apply a unitary method.
We know that, one year = \[52\] weeks
From given the labour earns Rs \[56,700\] in \[26\] weeks
To find the amount he earns for a week we must divide his income by \[26\]
That is in \[1\] week, he earns Rs \[\dfrac{{56700}}{{26}}\]
To find the value for \[52\] weeks we will multiply his salary in a week by \[52\]
That is in \[52\] weeks he earns Rs \[\dfrac{{56700}}{{26}} \times 52\]
Let us simplify the above equation so that we get the earnings of the labourer in 52 weeks.
Hence his income in 52 weeks is found to be Rs \[113400\]
Since 52 weeks from a year, the labourer earns Rs \[113400\]

Note: Here we can solve the given problem in other ways too.
In \[26\] weeks he earns Rs \[56,700\]
To find for 52 weeks we clearly know that 52 is twice that of 26.
Therefore in \[52\] weeks, he earns twice.
That is in \[52\] weeks, he earns Rs \[56,700 \times 2\]
Hence, in a year he earns Rs\[56,700 \times 2\]
By simplifying the above equation we get,
The labourers annual income is Rs. \[113400\].