Question

When a bus started from the first stop, the number of male passengers to the number of female passengers was 3: 1. At the first stop, 16 passengers got down and 6 more female passengers got in. The ratio of the male to female passengers now became 2: 1. What was the total number of passengers in the bus when it started from the first stop?

• A. 64
• B. 48
• C. 54
• D. 72

Answer 1

The Correct Option is A

The correct option is (A): 64
When the bus started, let the total number of male passengers be \(3x\) and the number of female passengers be \(x\).
Total number of passengers=\(4x\)
At first stop, number of male passengers\(=(4x-16)\times \frac{3}{4}=3x-12\)
and female passengers =\((4x-16)\times \frac{1}{4}+6=x+2\)
\(Acc. \space to \space Ques:\)
⇒\(\frac{3x-12}{x+2}=\frac{2}{1}\)
\(3x-12=2x+4\)
⇒\(x=16\)
\(\therefore \space Initial\space Passengers=4\times16=64\)