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The pie chart given below shows the number of keys manufactured by 5 machines. The data is presented in the terms of degrees. Average number of keys
Question

The pie chart given below shows the number of keys manufactured by 5 machines.
The data is presented in the terms of degrees. Average number of keys manufactured by M3 and M5 = 1500.

What are the total number of keys manufactured by the given 5 machines?

A.

4800

B.

6000

C.

8400

D.

7200

Correct option is D

Given:
Average number of keys manufactured by M3 and M5 = 1500
Total angle of a pie chart = 360 degrees
Solution:
First, calculate the total number of keys manufactured by M3 and M5 together.
Total keys of M3 and M5 = 1500 × 2 = 3000
the combined angle for M3 and M5 = 72 + 78 =  150 degrees
If 150 degrees represents 3000 keys, then 1 degree represents 3000150 \frac{3000}{150}​ = 20 keys.
Therefore, the total number of keys manufactured by all 5 machines (which corresponds to 360 degrees) is:
360 × 20 = 7200
Final Answer
So the correct answer is (d)

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