In a constituency, 90% of the total number of people on the electoral roll cast their votes during an election. 15% of the votes cast were declared invalid. Jeeta secured 60% of the valid votes. If Jeeta secured 91,800 valid votes, what was the total number of people on the electoral roll?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 2,00,000.
Let, the total number of people on the electoral roll = 100x
Total votes cast = 100x × 90% = 90x
Valid votes = 90x × 85%
According to the question:
⇒ 90x × 85% × 60% = 91800
⇒ 90x = (91800 × 100 × 10)/(85 × 6)
⇒ x = (180 × 100 × 10)/90
⇒ x = 2000
The total number of people on the electoral roll = 100x
⇒ 100 × 2000 = 200000