Instructions

The pie chart given below shows the break-up of number of hours of teaching various subjects at an institute by Mr. Raghav.

Question 98

Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio consitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?

Solution

Let total time taken = $$100x$$ hours

Time taken to teach Geometry = $$\frac{6}{100}\times100x=6x$$ hours

According to ques, => $$6x=36$$

=> $$x=\frac{36}{6}=6$$

=> Time taken to teach Arithmetic = $$\frac{46}{100}\times100x=46x$$ hours

= $$46\times6=276$$ hours

$$\therefore$$ Time required to teach ratio = $$\frac{276}{4}=69$$ hours

=> Ans - (C)

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