Question

The pie chart represents the amount spent on different sports by a sports club in a year. If the total money spent by the club on sports is Rs. 1,08,000, find the amount spent on each sport.

Answer 1

Hint: The total money spent by the club on sports is Rs. 1,08, 000. The given pie chart subtends an angle of $$360{}^{\circ }$$. Now, use the unitary method and calculate the amount that is represented by $$1{}^{\circ }$$. At last, using the data from the given pie chart, calculate the amount spent on each sport.

Complete step-by-step solution:
According to the question, we are given a pie chart representing the amount spent on different sports by a sports club in a year.
Also, we have
The total money spent by the club on sports = Rs. 1,08, 000 ……………………………………..(1)

In the above pie chart, we can observe that
The angle subtended for the expenditure by the club on Cricket = $$150{}^{\circ }$$ …………………………………….(2)
The angle subtended for the expenditure by the club on Hockey = $$100{}^{\circ }$$ …………………………………….(3)
The angle subtended for the expenditure by the club on Tennis club = $$50{}^{\circ }$$ …………………………………….(4)
The angle subtended for the expenditure by the club on Football club = $$60{}^{\circ }$$ …………………………………….(5)
The whole pie chart is representing the total money spent by the club on different clubs and a pie chart covers $$360{}^{\circ }$$. So, we can say that $$360{}^{\circ }$$ is representing the total expenditure that is Rs. 1,08,000 ………………………………….(6)
On applying the unitary method, we get
$$360{}^{\circ }=Rs.108000$$
$$1{}^{\circ }=Rs.{\displaystyle \frac{108000}{360}}=Rs.300$$ …………………………………..(6)
From equation (6), we can say that $$1{}^{\circ }$$ on the pie chart is representing Rs. 300.
Now, from equation (2) and equation (6), we get
The expenditure by the club on Cricket = Rs. $$150\times 300$$ = Rs. 45,000 …………………………………….(7)
Similarly, from equation (3) and equation (6), we get
The expenditure by the club on Hockey = Rs. $$100\times 300$$ = Rs. 30,000 …………………………………….(8)
Similarly, from equation (4) and equation (6), we get
The expenditure by the club on Tennis club = Rs. $$50\times 300$$ = Rs. 15,000 …………………………………….(9)
Similarly, from equation (5) and equation (6), we get
The expenditure by the club on Football club = Rs. $$60\times 300$$ = Rs. 18,000 …………………………………….(10)
Therefore, the expenditure of the club on each sport is calculated.

Note: The best way to approach this type of question is to use the logic that the pie chart subtends a total angle of $$360{}^{\circ }$$. Now, using this logic and the unitary method, calculate the share of $$1{}^{\circ }$$ on a pie chart.