Official Quant thread for CAT 2013

@jashholmes said:
In an election voters cast their votes either for X or Y. Y wins by 20 votes. Had X polled 5% more votes than what he did originally, that would have been a tie. In all how many votes are cast???
y = x + 20
1.05x = y
1.05x = x + 20
.05x = 20----> x = 400
y = 420
x + y = 400 + 420 = 820 ?
@jashholmes said:
In an election voters cast their votes either for X or Y. Y wins by 20 votes. Had X polled 5% more votes than what he did originally, that would have been a tie. In all how many votes are cast???
y-x=20
1.05x=y
or y= 21/20*x
we get x=400, y=420.total votes=820??
@jashholmes said:
In a town 25% of the population eat rice. Of the remaining 1/3rd eat clean wheat only. Of the remaining 20% eat jowar only in the remaining 112 persons eat bajra only. Find the total number of people in town.???
25x = rice
25x = clean wheat
10x = jowar

40x = 112
=? x = 112/40

total = 100*112/40 = 280
@mailtoankit said:
y = x + 201.5x = y1.5x = x + 20.5x = 20----> x = 40y = 60x + y = 60 + 40 = 100 ?
hey, it's 5% .. not 50%. :)
@jashholmes said:
Wrong hai!!!
edit kar diya bhai
420 hoga
@jain4444 said:
let total votes = z y = x + 20 and x + y = z x*105/100 = y - 5x/100 ratio = x : y = 10 : 11 11a = 10a + 20 => a = 20 so , total votes = 20*21 = 420
Even I got 420, but it's wrong. Let me provide you with the options,
a) 360 b)200 c)420 d)400 5)260
@ChirpiBird said:
hey, it's 5% .. not 50%.
haan..yaar..galat interpret kar liya...edited now..
@mailtoankit said:
y = x + 201.05x = y1.05x = x + 20.05x = 20----> x = 400y = 420x + y = 400 + 420 = 820 ?
It's wrong!!!
@ani6 said:
ghosh can write twice as fast as basu.A poerson takes twicw as long to write with fountain pen compared to ball point pen.ghosh can write 8pages a day with a ball point pen.What is the least time taken to complete 1000 pages with both basu and ghosh working together???plz help
they will take 1000/16 days to complete the work
@ChirpiBird said:
y-x=201.05x=y or y= 21/20*x we get x=400, y=420.total votes=820??
It's wrong!!!
@jashholmes said:
Even I got 420, but it's wrong. Let me provide you with the options,a) 360 b)200 c)420 d)400 5)260
bhai even @Subhashdec2 bhai got 420 ab toh pakka answer galat hai
@jashholmes said:
In a town 25% of the population eat rice. Of the remaining 1/3rd eat clean wheat only. Of the remaining 20% eat jowar only in the remaining 112 persons eat bajra only. Find the total number of people in town.???
X/4 =rice
1/3 *3x/4=x/4=wheat
1/5 *X/2=x/10=jowar
remaining=2x/5=112
x=56*5=280
@Subhashdec2 said:
edit kar diya bhai420 hoga
The answer to this question is given as 400!!!
That's the reason I posted this question to know whether anyone got 400!!!
@jain4444 said:
bhai even @Subhashdec2 bhai got 420 ab toh pakka answer galat hai
Even I got the answer is 400 but it's wrong!!!
@jashholmes said:
Even I got the answer is 400 but it's wrong!!!
Even I got the answer is 420 but it's wrong!!!

A merchant claims 4 % loss on cofee but uses weight equal to 840 gm instead of kg .the merchant gains or losses what % ?

@jashholmes said:
In a town 25% of the population eat rice. Of the remaining 1/3rd eat clean wheat only. Of the remaining 20% eat jowar only in the remaining 112 persons eat bajra only. Find the total number of people in town.???
280 ?
let total population be x
.25x --> rice
.75x*1/3 = .25x --> wheat
of remaining .50x , .50x*.2 eat jowar
remaining .4x = 112 eat bajra
so x = 112/.4 = 280
@jashholmes said:
Even I got the answer is 420 but it's wrong!!!
x = 200 and y = 220

200*5/100 = 10

200 + 10 = 220 - 10

whats wrong in it bhai ?
@jashholmes said:
In a town 25% of the population eat rice. Of the remaining 1/3rd eat clean wheat only. Of the remaining 20% eat jowar only in the remaining 112 persons eat bajra only. Find the total number of people in town.???
280
@Pradeep_Rss said:
A merchant claims 4 % loss on cofee but uses weight equal to 840 gm instead of kg .the merchant gains or losses what % ?
let CP 1000 grms be of 1000rs
he sells 840 grms at 960 rs
gain =120/840 = 1/7 = 14.28%?