Question

A monthly return railway ticket costs 25 per cent more than a single ticket. A week's extension can be had for the former by paying 5 per cent of the monthly ticket's cost. If the money paid for the monthly ticket (with extension) is Rs 84, the price of the single ticket is

• A. Rs 64
• B. Rs 80
• C. Rs 48
• D. Rs 72

Answer 1

The Correct Option is A

Let x be the price of single ticket
Return railway ticket = \(\frac{125x}{100}\)
5% of return ticket 
= \(\frac{5}{100} \times \frac{125x}{100}\) 
= \(\frac{25x}{400}\) 
= \(\frac{x}{16}\)
Given,
\(\frac{125x}{100} + \frac{x}{16} = 84\)
Solving for x, we get
x=64 

Therefore, the correct option is (A): Rs 64