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Numerical Ability
Averages
a hostel had 320 inmates. this year 80 more inmates joined and the average expenditure reduced by 5 but the total expenditure went up by 400. what is the expenditure of the hostel in this year?
Read Solution (Total 7)
-
- Let avg expenditure=X
Total expenditure=320x
Now new expenditure=(x-5)
Total expenditure =(x-5) X 400
ATP,
400X- 2000-320x=400
x=30
Total expenditure =10000 - 7 years agoHelpfull: Yes(24) No(6)
- Ans: 10,000
Let the previous average is x
The number of inmates are 320
Therefore Previous total expenditure= 320x
Now there are 400 inmates.
The average is reduced by 5, i.e (x-5)
total expenditure now = 400(x-5)
The total expenditure has went up by 400.
Therefore 400(x-5) - 320x = 400
--> 80x = 2400 ---> x=30
Therefore the expenditure this year is 400(30-5)= 400*25 = 10,000 - 7 years agoHelpfull: Yes(16) No(3)
- Do the same questions will repeat in further papers?
- 7 years agoHelpfull: Yes(7) No(2)
- Let the expenditure be Rs.x
total expenditure=(320x)
expenditure reduced by 5=(x-5)
then,
400(x - 5) - 320x = 400
⇒ x = 30
Therefore original expenditure = Rs.(400 × 30)=Rs.12000 - 7 years agoHelpfull: Yes(5) No(20)
- Initially, let the avg expenditure be : x
Initially total no of inmates : 320
then, Total Expenditure : 320x
similarly,
when this year 80 more inmates joined and
avg expenediture is reduced by 5, then total expenditures this year : (320 +80 )*(5-x) = 400 *(5-x)
a/q
400*(5-x) - 320x : 400
calculate the value of x,
we get
x = 30
and hence, expenditure of hostel in this year is = 400(30-5) = 10,000 - 7 years agoHelpfull: Yes(4) No(2)
- initial expenditure=320x
final expenditure=400(x-5)
initial-final=400
x=30
so this year expenditure=400(30-5)=100000 - 7 years agoHelpfull: Yes(1) No(1)
- (400*5+400)/80=30
(30-5)*400=10000 - 7 years agoHelpfull: Yes(1) No(0)
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