Question

Two numbers P and Q are such that, the sum of 2 % of P and Sum of 2 % of Q is two-third of the sum of 2 % of P and 6 % of Q. Find the ratio of P and Q.

Answer 1

According to the question,

2% of P + 2% of Q = 2/3(2% of P + 6% of Q)

2/100 P + 2/100 Q= 2/3 (2/100 P + 6/100 Q)

1/50P + 1/50 Q= 1/75 P+ 1/25 Q

(1/50 - 1/75 )P = 1/25- 1/50

1/150 P= 1/ 50 Q

P/Q = 150/50

P/Q = 3/1

So, the correct answer to the question is Option B- 3:1.