Question : Direction: The pie chart shows the breakup of the monthly expenditure of a person.
The central angle made by the sector of expenditure on fuel is how much more than the central angle made by the sector of expenditure on clothes If the ratio of the expenditure on fuel and clothes is 4: 3 respectively.
Option 1: 18$^\circ$
Option 2: 32$^\circ$
Option 3: 36$^\circ$
Option 4: 45$^\circ$
Correct Answer: 18$^\circ$
Solution :
Central angle of cloth = $\frac{15}{100}×360^\circ = 54^\circ$
Given the ratio of fuel : cloth = 4 : 3
Difference between the ratio of fuel and cloth = 4 – 3 = 1
The ratio of cloth is $3 = 54^\circ$
Thus, $1 = 18^\circ$
Hence, the correct answer is $18^\circ$.
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