Latest TCS Aptitude Question SOLUTION: There are two buildings P and Q. If 15 persons are sent from P to Q, then the number of persons in each building is the same. If 20 persons are sent from Q to P, then the number of

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There
are two buildings P and Q. If 15 persons are sent from P to Q, then the number of
persons in each building is the same. If 20 persons are sent from Q to P, then the number of
persons in P is double the number of persons in Q. How many persons are there in
building P?
A. 80
B. 140
C. 120
D. 90

Asked In TCS Divya (10 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

Sandeep Kumar  (10 years ago)

p-15 = q+15
p-q = 30 ....... (1)

p+20 = 2(q-20)
p-2q = -60 ...... (2)

solving eq. (1) and (2)

P = 120
Q = 90

Is this solution Helpfull? Yes (21) | No (1)  

ASMA SULTANA  (10 years ago)

Let the number of persons in building P = p
and the number of persons in building Q = q
If 15 persons are sent from P to Q,
then the number of persons in each building is the same
=> p-15 = q+15
=> p - q = 30 ----(Equation 1)
If 20 persons are sent from Q to P,
then the number of persons in P is double the number of persons in Q
=> 2(q - 20) = (p + 20)
=> 2q - 40 = p + 20
=> 2q - p = 60 ----(Equation 2)
(Equation 1) + (Equation 2)=> q = 90
From Equation 1, p = 30 + q = 30 + 90 = 120
i.e., Building P has 120 persons

Is this solution Helpfull? Yes (5) | No   

ravi shankar  (10 years ago)

p-15=q+15 (1)
p+20=2(q-20)
q=(p+60)/2
put the value of q in (1)
p=120

Is this solution Helpfull? Yes (1) | No   

Anjali Kumari  (10 years ago)

let there are x persons in building P and y persons in building Q.
X-15=Y+15
or,x-y=30---(1)
2*(y-20)=x+20
or,2y-40=x+20
or,2y-x=60---(2)
adding eq. (1) and (2)
y=90
x=120
hence no of persons in building P are 120

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