Question

Mr. Ahmed sold his motorcycle to Mr. Saad at a loss of 28%. Mr.Saad spent Rs.1680 on its repairs and sold the motorcycle to Mr. Faiz for Rs.35910, thereby making a profit of 12.5%. Find the cost price of the motorcycle for Mr. Ahmed.

Answer 1

Rs. 42000

Explanation:

Let us assume that Mr. Ahmed bought the bicycle for Rs. x, and sold it for Rs. y to Mr. Saad. Since he made a loss of 28%, hence:

y = x - 0.28x = 0.72x

Mr. Saad spent Rs.1680 on its repairs, therefore the total cost price of the motorcycle = 0.72x + 1680

He then sold it for Rs.35910 making a profit of 12.5%. Therefore:

0.72x + 1680 + [0.125(0.72x + 1680)] = 35910

0.81x + 1890 = 35910

0.81x = 34020

x = Rs. 42000

Therefore the cost price of the motorcycle for Mr. Ahmed is Rs. 42000