A student represents his scores in Mathematics, Statistics and Economics examinations in a pie chart. The central angle for Mathematics is 180°. He scored 80 in Statistics and 70 in Economics. His score in Mathematics is:

Correct option is A

​Given

Central angle for Mathematics: $$180^\circ$$​​

Score in Statistics: 80

Score in Economics: 70

Total central angle of the pie chart: $$360^\circ$$​​

Concept Used

In a pie chart, the central angle is proportional to the corresponding score. The formula is:

Score in Mathematics = $$\left(\frac{\text{Central angle for Mathematics}}{\text{Total central angle}}\right) \times \text{Total score}$$​​

Solution

Let the score in Mathematics be x.

Total score = x +80 + 70 = x + 150

From the formula;

​$$\frac{180^\circ}{360^\circ} = \frac{x}{x + 150}$$​​

​$$\frac{1}{2} = \frac{x}{x + 150}$$​​

2x = x + 150

x = 150

thus, the marks in mathematics is 150

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