There are two buildings P and Q. If 25 persons are sent from P to Q, then the number of persons in

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23 Nov 2017 Simplifcation

There are two buildings P and Q. If 25 persons are sent from P to Q, then the number of persons in each building is the same. If 55 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?

OPtion

1) 210
2) 220
3) 225
4) 190
5) 235
6) 215
7) 240
8) 265
9) 250
10) None of these

Solution

Let number of persons in building P be P and
number of persons in building Q be Q

P-25 = Q+25
=> P = Q + 50 ---- (i)

P+55= 2(Q-55)
=> P + 165 = 2Q ---- (ii)

Putting value of P from (i) in (ii)
Q+ 50 + 165 = 2Q
Q = 215
P = 265

Correct Option: 8 Best Solution (0)