Question

Comprehension

Read the following data and answer the following question.

The ratio between the undergraduate and postgraduate population of a village is 8 : 5. The difference between the male and female population of the village is 110. The total undergraduate and male population of the village is 780. The female postgraduate population is 60% of the total postgraduate population of the village. The male postgraduate population of the village is 100.

1. 46%
2. 32%
3. 59%
4. 33%
5. 57%

Answer 1

Correct Answer - Option 5 : 57%
Given:

Let the undergraduate and postgraduate population of the village be 8a and 5a respectively.

⇒ 100 = 5a × 40/100

⇒ a = 50

⇒ The Undergraduate population of the village = 8a = 400

⇒ The Post-graduate population of the village = 5a = 250

⇒ The Male population of the village = 780 - 400 = 380

⇒ The Female population of the village = 380 - 110 = 270

⇒ The Female post-graduate population of the village = 250 × 60/100 = 150

⇒ The Female undergraduate population of the village = 270 - 150 = 120

⇒ The Male undergraduate population of the village = 380 - 100 = 280

∴ Required percentage = (280 - 120)/280 × 100 = 57.14% ≈ 57%