Question

Robert purchase two cars of equal price he paid repairing charges of rupees Rs. 2000 each car he then sold the two cars for a total of Rs. 420000 making a 20% profit on 1 car and incurring a 10% loss on the other. Find-1)the cost price of each car2)the percentage of profit on the whole transaction.

Answer 1

$\fontsize{18}{10}{\textup{\textbf{There is 5 percent profit}}}$

Step-by-step explanation:

Let the purchase price of each car be x

So after repairing the effective price becomes x+2000

Since the cost price is equal, the profit of 20% on one and 10% loss in another makes it an effective profit of 10% on one car's price

that is 5% of the total amount

now our total effective CP is 2x+4000

Again, 2x+4000+ 5% of (2x+4000) =420000

(2x+4000)*105/100=420000

2x+4000=400000

x=396000/2

x=198000

So the original cost price of each car is 198000

Total profit=420000-400000

=20000

percentage profit

=20000*100/400000

=5%