Question 66

study the given pie-chart and answer the question that follows.
The following pie chart shows the sectors representing the shares of the number of chairs produced in a given year of each of six different brands in terms of the central angles (in degrees) with respect to the total number of chairs produced in that year of all the six brands taken together.

If the total number of chairs produced of these six brands taken together is 7200, then what is the total number of chairs produced of brands B2 and B3 taken together?

Solution

If the total number of chairs produced of these six brands taken together is 7200.

$$(78+60+45+108+33+36)^{\circ\ } = 7200$$

$$360^{\circ\ } = 7200$$

$$1^{\circ\ } = 20$$

total number of chairs produced of brands B2 and B3 taken together = $$(60+45)^{\circ\ }$$ = $$105^{\circ\ }$$ = $$20\times105$$

= $$2100$$

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