1MA0 Higher June 2012 Paper 1 Q10
*10 Railtickets and Cheaptrains are two websites selling train tickets.
Each of the websites adds a credit card charge and a booking fee to the ticket price.
| Railtickets | Cheaptrains |
|---|---|
| Credit card charge: 2.25% of ticket price Booking fee: 80 pence | Credit card charge: 1.5% of ticket price Booking fee: £1.90 |
Nadia wants to buy a train ticket.
The ticket price is £60 on each website.
Nadia will pay by credit card.
Will it be cheaper for Nadia to buy the train ticket from Railtickets or from Cheaptrains? (4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| 2.25 × 60 ÷ 100 = 1.35 1.35 + 0.80 = 2.15 1.5 × 60 ÷ 100 = 0.90 0.90 + 1.90 = 2.80 OR 2.25 – 1.5 = 0.75 0.75 × 60 ÷ 100 = 0.45 0.80 + 0.45 = 1.25 1.25 < 1.90 | Railtickets with correct calculations | 4 | NB. All work may be done in pence throughout M1 for correct method to find credit card charge for one company eg. 0.0225 × 60(=1.35) oe or 0.015 × 60 (=0.9) oe M1 (dep) for correct method to find total additional charge or total price for one company eg. 0.0225×60 + 0.80 or 0.015×60 + 1.90 or 2.15 or 2.8(0) or 62.15 or 62.8(0) A1 for 2.15 and 2.8(0) or 62.15 and 62.8(0) C1 (dep on M1) for a statement deducing the cheapest company, but figures used for the comparison must also be stated somewhere, and a clear association with the name of each company OR M1 for correct method to find percentage of (60+booking fee) eg. 0.0225 × 60.8(=1.368) oe or 0.015 × 61.9(=0.9285) M1 (dep) for correct method to find total cost or total additional cost eg. ‘1.368’ + 60.8(=62.168) or ‘1.368’ + 0.8 (=2.168) or ‘0.9285’ + 61.9 (=62.8285) or ‘0.9285’ +1.9 (=2.8285) A1 for 62.168 or 62.17 AND 62.8285 or 62.83 OR 2.168 or 2.17 AND 2.8285 or 2.83 C1 (dep on M1) for a statement deducing the cheapest company, but figures used for the comparison must also be stated somewhere, and a clear association with the name of each company OR M1 for correct method to find difference in cost of credit card charge eg. (2.25 – 1.5) × 60 ÷ 100 oe or 0.45 seen M1 (dep) for using difference with booking fee or finding difference between booking fees eg. 0.80 + “0.45”(=1.25) or 1.90 – “0.45” (=1.45) or 1.90 – 0.8 (=1.1(0)) A1 1.25 and 1.9(0) or 0.45 and 1.1(0) C1 (dep on M1) for a statement deducing the cheapest company, but figures used for the comparison must also be stated somewhere, and a clear association with the name of each company QWC: Decision and justification should be clear with working clearly presented and attributable |
Notes
(corrected from the printed mark scheme: the working line 0.75 × 60 ÷ 100 = 0.45 is printed as 0.075 × 60 ÷ 100 = 0.45)