What is the average number of Assistant Professors in universities K, L and M?

Solution

Number of Assistant Professors in university K = $$\frac{75}{100} \times 180 = 135$$

Number of Assistant Professors in university L = $$\frac{80}{100} \times 150 = 120$$

Number of Assistant Professors in university M = $$\frac{63}{100} \times 100 = 63$$

=> Total number of Assistant Professors in universities K, L and M = 135 + 120 + 63 = 318

$$\therefore$$ Required average = $$\frac{318}{3} = 106$$

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