Benjamin bought a motorcycle for GH₵16,800.00 and later sold it at 85% of the original cost. He spent GH₵3,930.75 from the money he received from the sale of the motorcycle and invested the remaining at 18% per annum simple interest. How much did he earn in 9 years?

Step 1: Calculate the selling price of the motorcycle. The motorcycle was bought for GH¢16,800.00 and sold at 85% of the original cost. Selling Price = 0.85 × GH¢16,800.00 Selling Price = GH¢14,280.00 Step 2: Calculate the amount of money invested. Benjamin received GH¢14,280.00 from the sale and spent GH¢3,930.75. The remaining amount was invested. Amount Invested (Principal, P) = GH¢14,280.00 - GH¢3,930.75 P = GH¢10,349.25 Step 3: Calculate the simple interest earned. The principal (P) is GH¢10,349.25, the interest rate (R) is 18% per annum (0.18), and the time (T) is 9 years. The formula for simple interest is I = P × R × T. I = GH¢10,349.25 × 0.18 × 9 I = GH¢10,349.25 × 1.62 I = GH¢16,765.785 Step 4: Round the interest to two decimal places and select the correct option. Rounding GH¢16,765.785 to two decimal places gives GH¢16,765.79. This matches option C. The amount Benjamin earned in 9 years is the simple interest. The correct option is C. GH¢16,765.79 Send me the next one 📸