PrepRung
Sign inSign up free

CAT 2017 Slot 2 · Quant · Percentages · hard

In an election contested by two candidates, 10% of the registered voters did not vote and 60 of the votes cast were declared invalid. The winning…

Single correct option

In an election contested by two candidates, 10% of the registered voters did not vote and 60 of the votes cast were declared invalid. The winning candidate received votes equal to 47% of the total number of registered voters and won by 1,320 votes. How many voters were registered?
  1. A. 30,000
  2. B. 31,500
  3. C. 33,000
  4. D. 34,500
Show answer and solution

Answer: (B) 31,500

Let the number of registered voters be N. Votes cast = 0.9N; valid votes = 0.9N − 60.

Winner = 0.47N; loser = (0.9N − 60) − 0.47N = 0.43N − 60.

Margin = 0.47N − (0.43N − 60) = 0.04N + 60 = 1320 ⇒ 0.04N = 1260 ⇒ N = 31,500.

Check: winner 14,805; loser 13,485; difference 1,320 ✓.
Report a mistake

Original question written in the CAT 2017 Slot 2 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake