A monthly bus ticket costs 20 percent more than a single ticket. A week’s extension can be had for the former by paying 10% of the monthly ticket’s cost. If the money paid for the monthly ticket (with extension) is ₹ 660, then the price of the single ticket is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → ₹ 500
Both increases are percentages of different prices: the 20% is on the single ticket, and the 10% extension is on the monthly ticket.
Taking the single ticket as ₹ \(x\):
Monthly ticket \(=1.2x\)
Extension \(=10\%\) of \(1.2x=0.12x\)
Monthly ticket with extension \(=1.2x+0.12x=1.32x\)
\(1.32x=660\), so \(x=500\): the single ticket costs ₹ 500