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BMAT 2019-S1
Your Score: %
Average Score of All Users:
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Section Breakdown
| Your Score | Average of all Users | Percentile | |
|---|---|---|---|
| BMAT 2019 S1 |
BMAT 2019 S1
Your score:
Average score:
You performed better than of students
This section is Section 1 of 3.
Speed as well as accuracy is important in this section. Work quickly, or you might not finish the paper. There are no penalties for incorrect responses, only marks for correct answers, so you should attempt all 35 questions. Each question is worth one mark.
You must complete the answers within the time limit. Calculators are NOT permitted.
Good Luck!
The total cost of a flight between two cities is made up of three parts: a basic cost, taxes and a booking fee. Last year, for any flight, the basic cost and the taxes were in the ratio 3 : 2 and the booking fee was fixed at $50. This year, the basic cost of a flight has been increased by 20%, the taxes have been increased by 10% and the booking fee has been halved.
Explanation
The correct answer is C.
This is a question designed to get you in a muddle by flooding you with information, so rationalise it! First thing is to understand what we’re looking for: the new cost of the flight in total. There are 3 parts, each of which have changed by a proportion (which are all pretty easy to calculate!). So, we should define the original costs, then the new values after change, then add them up for the final value.
- The costs are the basic cost, the taxes and the booking fee. The booking fee was fixed at $50, so this one is easy.
- Subtracting $50 from $330 gives us $280 between which basic costs and taxes are split in a ratio of 3:2.
- With this ratio, one part is equivalent to 1/5 of the total $280 so the ratio of 3:2 converts to $168:$112.
- The basic cost has increased by 20%, from $168 to $201.60
- The taxes have increased by 10%, from $112 to $123.20
- The booking fee has halved, from $50 to $25
- Adding all of these gives us the new price of $349.80!
Top Tips
Use multipliers for percentages; remember that an increase of 20% is equivalent to multiplying by 1.2!
Spend a little time to define your goal before just diving into the question. Rushing too much will lead to silly mistakes, when the arithmetic itself shouldn’t be too difficult!