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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.


(15) Comment(s)


ABHIJEET
 ()

0.16% is percent decrease in time



Arun Vk
 ()

for all inverse proportion this is applicable

for speed

100 to 120

time

120 to 100

so decrese in time

20/120*100=16.66



Yogesh
 ()

d=100

r=100

total=200 d get 12% extra

so d=112

r=.88

total=200

13200-----88

--------112

168000

=16800-13200=36000 # yogesh



Faisal
 ()

Total votes >132,000/.88 = 150,000

>150,000*1.12 = 168,000

Loss by = 168,000-132,000 = 36,000



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


ABHIJEET
 ()

0.16 is percent decrease in time