Question

If the total amount spent was Rs.46000, how much was spent on clothing and housing together?

A. $Rs.11500$
B. $Rs.1150$
C. $Rs.10000$
D. $Rs.15000$

Answer 1

Hint: From the question, we have to find the total amount that was spent on clothing and housing together. We will use the percentages to obtain the amount of money that was spent on each and we will add them.

Formula used: We will use the formula of multiplication of the percentage with the total value to obtain the individual amounts.
Thus, amount of a sector= ${\text{percentage}} \times {\text{total amount}}$

Complete step by step solution:
Here, for the given problem, it is said that the total amount spent is Rs. $46000$.
According to the given pie chart,
Saving is of $15\% $
Food is of $23\% $
Clothing is of $10\% $
Housing is of $15\% $
Education is of $12\% $
Transport is of $5\% $
And others is of $20\% $
Here we have to find out the total amount that was spent on clothing and housing together
First we have to find out the amount spent on clothing is,
Amount=${\text{percentage}} \times {\text{total amount}}$
$ \Rightarrow 10\% \times 46000$
Convert the percentage in fraction form,
$ \Rightarrow \dfrac{{10}}{{100}} \times 46000$
On simplification we get
$ \Rightarrow Rs.{\text{ }}4600$
Also, we find the amount spent on housing is,
Amount=${\text{percentage}} \times {\text{total amount}}$
$ \Rightarrow 15\% \times 46000$
Convert the percentage in fraction form,
$ \Rightarrow \dfrac{{15}}{{100}} \times 46000$
$ \Rightarrow Rs.{\text{ }}6900$
So, the total amount spent on housing and clothing is= amount spent on clothing + amount spent on housing
$ \Rightarrow 4600 + 6900$
Let us add the term and we get
$ \Rightarrow Rs.{\text{ }}11500$

Option A is correct.

Note: A pie chart is very useful to represent data graphically. It contains a lot of information to be presented at a glance but it has no details. For a pie chart, the entire data is either represented in percentage or in degrees. Here, the percentages denoted on the pie chart can be converted to degrees to obtain the results. In that case, we need to take the total amount as ${360^ \circ }$.
Spent of housing=$15\% \, of \, {360^ \circ } = \dfrac{{15}}{{100}} \times {360^ \circ } = {54^ \circ }$
If the total amount spent was Rs$46000$
So we can write it as, ${360^ \circ } = 46000$
$ \Rightarrow {54^ \circ } = \dfrac{{{{54}^ \circ }}}{{{{360}^ \circ }}} \times 46000$=$6900$
Spent of clothing=$10\%\, of\, {360^ \circ } = \dfrac{{10}}{{100}} \times {360^ \circ } = {36^ \circ }$
If the total amount spent was Rs.$46000$
So we can write it as, ${360^ \circ } = 46000$
$ \Rightarrow {36^ \circ } = \dfrac{{{{36}^ \circ }}}{{{{360}^ \circ }}} \times 46000$=$4600$
So, the total amount of spent housing and clothing =$6900$+ $4600$
=Rs. $11500$
This is the alternative method.