Percentage Part-3

In Continution to the previous notes...

Election Based question

Question 1:

8% of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner by obtaining 48% of the total votes, defeated his contestant by 1100 votes. The total number of voters in the election was:

A). 21000                 B). 23500                C). 22000                   D). 27500

Solution:

Let total votes = x

Votes polled=x×92/100

Votes polled for winner=48/100 × x= 48x/100

Votes polled for loser=(92x/100−48x/100)

According to the question,

48x/100−42x/100=1100

4x=1100×100

x=1100×25=27500

Question 2:

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

A). 16000                     B). 16400                     C). 16800                    D). 18000

Solution:

let total voter be 100% of x 
now vote polled = 75% of x 
now 2% voters are declared invalid 
=> valid voters = 98% of ( 75% of x )
Winner candidate got 75% of total valid votes 
i.e 
75% of { 98% of (75% of x )} = 9261 

=> x = 16800 

Question 3:

In an assembly election, a candidate got 55% of the total valid votes. 2% of the total votes were declared invalid. If the total number of voters is 104000, then the number of valid votes polled in favour of the candidate is :

A). 56506                               B). 56650                         C). 56560                              D). 56056

Solution:

Total votes = 104000

Total valid votes

=104000×98/100

=101920

Votes polled in favour of the candidate

=101920×55/100

=56056

Question 4:

In an election, there are three candidates contested. The first candidates got 40% votes and the second got 36% votes. If total number of votes polled were 36000, find the number of votes got by the 3rd candidate.

A). 8040                         B). 8640                       C). 9360                    D). 9640

Solution:

Let the total number of votes = 100 units



According to the question,

100 units = 36000

1 unit = 360

24 units =360×24=8640

Commision based Question:

Question 5. A salesman is allowed 12% commission on the total sales made by him and a bonus of 1% on the sales over Rs 15000. If the total earning of the sales man is 7650 Rs. Find the total sales?
A) 60,000                        B) 50,000                      C) 80,000                     D) 90,000

Solution:

Sale upto 15000 rs 
12% of 15000 = 1800 
remaining amount = { 7650-1800 } = 5850 
now 1% after 15000 
12%+1% = 13% = 5850 
1% = 5850/13 = 450 
100% = 45000 ( sale after 15000 )
i.e total sale = 15000 + 45000 = 60000 
option A 

Question 6: A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is: