Question

The total wages of 30 labourers were \[Rs.\,3450\] per day. What would be the total wages, if 10 more labourers were added to them?

Answer 1

Hint: In the Question, it is mentioned the wages of 30 labourers. By using the division arithmetic operation we determine the wage of one labour for one day. Then we are adding 10 more labourers and by multiplying the total number of labourers and the wage of one labourer for one day we obtain the required solution for the given question.

Complete step by step answer:
Given, Number of labourers = 30
The total wages of 30 laborers per day = \[Rs.\,3450\]
Now we calculate the wage of one labourer per day.
To determine that we have to divide the total wages of labourers per day by the total number of labourers.
The wage of one labourer per day = \[\dfrac{{Rs.\,3450}}{{30}}\]
On cancelling the zeros we have
\[ \Rightarrow \dfrac{{Rs.\,345}}{3}\]
On dividing 345 by 3 we get
\[ \Rightarrow Rs.\,115\]
Therefore the wage of a one labourer for one day = \[Rs.\,115\]
To the 30 labourers 10 more labourers are added. Now we have to add 30 and 10.
On adding we get
\[ \Rightarrow 30 + 10 = 40\]
Now there are 40 labourers, we have to determine the total wage of 40 labourers
On multiplying the total number of labourers and the wage of the labour for per day we get
\[ \Rightarrow 115 \times 40\]
On simplifying we get
\[ \Rightarrow Rs.\,4600\]
Therefore the total wages of 40 labourers were \[Rs.\,4600\].

Note:
The question is a word problem. In a word problem the student should read each sentence, because each sentence will contain the data which is required to solve the given problem. The selection of arithmetic operations also depends on the sentence in the question. If the question involves the unit, in the final answer also we have to mention the unit.