There are two buildings P and Q. If 143 persons are sent from P to Q, then the number of persons i

M4maths Previous Puzzles

01 Apr 2008 Simplification

There are two buildings P and Q. If 143 persons are sent from P to Q, then the number of persons in each building is the same. If 186 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) 1010
2) 822
3) 866
4) 1130
5) 1103
6) 875
7) 1113
8) 844
9) 1210
10) None of these

Solution

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

P-143 = Q+143
=> P = Q + 286 ---- (i)

P+186= 2(Q-186)
=> P + 558 = 2Q ---- (ii)

Putting value of P from (i) in (ii)
Q + 286 + 558 = 2Q
Q = 844
P = 1130

Correct Option: 4 Best Solution (0)