In an election between two candidates, $75 %$ of the voters cast their votes, out of which $2 %$ were declared invalid. A candidate get $9261$ votes which were $75 %$ of the valid votes. The total number of voters enrolled in that election were

16000

No worries! We‘ve got your back. Try BYJU‘S free classes today!

16400

No worries! We‘ve got your back. Try BYJU‘S free classes today!

16800

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

18000

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $16800$
(c) $75 %$ of valid votes cast $= 9261$
$\Rightarrow V a l i d v o t e s = \frac{9261}{75} \times 100 = 12348$
$% o f v a l i d v o t e s = 75 % - 2 % o f 75 %$
$= (75 - 1.5) % = 73.5 %$
$∴ 73.5 %$ of total no. of votes $= 12348$
$\Rightarrow T o t a l n o . o f v o t e r s = \frac{12348 \times 100}{73.5} = 16, 800$ .

Suggest Corrections

Similar questions

10 %

of the voters did not cast their votes in an election between two candidates

10 %

of the votes polled were found invalid. The successful candidate got

54 %

of the valid votes and won by a margin of

1620

votes. The number of voters enrolled in the voter's list was

In an election between two candidates, $10 %$ of the voters did not cast their vote. $10 %$ of the votes polled were found invalid. The successful candidates got $54 %$ of the valid votes and won by a majority of $1620$ votes. Find the number of votes enrolled on the voter's list.