Hi

Usually the official solution to the questions is given after 4 or 5 days to give the time to the students to practice. However, this question can be solved also by a bit of math

28% or 0.28 of a = 1820/5000 because when someone makes a profit the formula is

\(\begin{aligned}
& \text { Profit } \%=\frac{\text { Profit }}{\text { Cost price }} \times 100 \\
& \text { Loss } \%=\frac{\text { Loss }}{\text { Cost price }} \times 100
\end{aligned}\)

Now

0.28 a= 1820/5000

0.28a=36.4*100

Essentially, 3640 is our overall profit but we need to depurate it from the 1820 which is also the 28% +42% profits. Therefore, it is inflated.

3640-1820=2020 which is B

Alternative approach

By inspection , we do not know car 1 initial cost or car 2. we only know that 5000 is the over all cost of both.

Now, if we have a 28% profit on the first one, it is reasonable to conceive that car 1 is the cheaper. Even if you assume that car 1 cost is 2000, the profit of 28% on 2000 is 2560.

therefore, an educated guess is surely B