Instructions

Based on the following table and answer the given questions.


Question 45

The number of Professors in universities J and K together is approximately what per cent more than the number of Assistant Professors in university L?

Solution

Total number of assistant professors in university L

= $$\frac{60}{100} \times 160 = 96$$

Total number of assistant or associate professors in university J = $$\frac{72}{100} \times 300 + 52$$

= $$216 + 52 = 268$$

Thus, total professors in university J = $$300 - 268 = 32$$

Similarly, total number of assistant or associate professors in university K = $$\frac{40}{100} \times 250 + 72$$

= $$100 + 72 = 172$$

Thus, total professors in university K = $$250 - 172 = 78$$

=> Total number of professors in universities J and K together = $$32 + 78 = 110$$

$$\therefore$$ Required % = $$\frac{110 - 96}{96} \times 100$$

= $$14.58 \approx 15 \%$$


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