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Q.

In an election contested by two parties, Party $D$ secured 12% of the total votes more than Party $R$.

If party $R$ got 132,000 votes, by how many votes did it lose the election?

 A.

300,000

 B.

168,000

 C.

36,000

 D.

24,000

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Solution:
Option(C) is correct

Let the percentage of the total votes secured by Party $D$ be $x$%

Then the percentage of total votes secured by Party $R = (x – 12)\%$

As there are only two parties contesting in the election, the sum total of the votes secured
by the two parties should total up to 100%

i.e.,$ x + x – 12 = 100$

$2x – 12 = 100$ or

$2x = 112$ or

$x = 56%.$

If Party $D$ got 56% of the votes, then Party got $(56 – 12) = 44$% of the total votes.

44% of the total votes $= 132,000 $

i.e., $(\dfrac{44}{100})×T = 132,000$

⇒ $T = (\dfrac{132,000}{44}×100) = 300,000$ votes.
 
The margin by which Party $R$ lost the election = 12% of the total votes 

= 12% of 300,000 = 36,000

Edit: For an alternative solution (shortcut), check comment by Chirag Goyal.


(10) Comment(s)


Lakuma Prakash
 ()

use formula: (R*100)/(100+R)


Lakuma Prakash
 ()

Ans for the question asked by sai


Jaanu
 ()

assume total votes 100...

r got x votes....

d got 12 votes more than r.... so d got x+12 votes....

x+(x+12) = 100

x=44

here x = 44 that means r got 44 votes.....

in the question given that r got 132000 votes.....

and asked by how many votes he lose the election....

d got (x+12) --> (44+12) i.e., 12 votes r lose to d....

so we should calculate how many does 12 imply according to question.....

44 ------> 132000

12 ------> ?

(12 * 132000) / 44 = 36000



Syed
 ()

simply consider it as 100% of both parties. then you need to know 12% of winning party and if it is then loosing party votes are 44%. because (12/2=6) 50%-6%=44%. now by applying this =12/44*132000 answer will be 36000.



Zoha Amjad
 ()

R votes = 132,000

D votes = 132,000+ 12% of Total Votes

when we add R votes and D votes we get total votes

132000+132000+12% * TV = TV

264,000+ 3/25 * TV=TV

25(264000)+3 TV= 25 TV

6600,000 = 25TV - 3 TV

6600,000 = 22 TV

TV= 300,000

now 12% of TV

12/100 * 300,000 = 36000



Rahul Jain
 ()

Is this valid for 2 candidates, anyways this helps a lot.



Chirag Goyal
 ()

Shortcut,

In case of Votes that Losing Party got given

$\text{Difference in Votes}$ = $\dfrac{2\times{\text{Votes that Losing Party got}\times{\text{% Difference}}}}{100- \text{% Difference}}$

In case of Votes that Winning Party got given

$\text{Diff. in Votes}$ = $\dfrac{2\times{\text{Votes that Winning Party got}\times{\text{% Difference}}}}{100+\text{% Difference}}$


Jaspreet Kaur
 ()

I got the correct answer bro.

thanks

Rajesh
 ()

Good one. But What if More than 2 candidates Participates?


Sai
 ()

plz answer my question,Q.the speed is increases by 20 percent then the 'x' percent decrease in time to cover the same distance