A vendor bought 225 coconuts for GH¢180.00. Three-fifth of the coconuts were sold at a profit of 40%. The rest were sold at 75% of the initial selling price. Calculate (a) the new selling price per co

Step 1: Calculate the cost price per coconut.
The total cost price for 225 coconuts is GH¢180.00.

$$\text{Cost Price per coconut (CP)} = \frac{\text{Total Cost Price}}{\text{Number of coconuts}}$$ $$\text{CP} = \frac{\text{GH¢}180.00}{225} = \text{GH¢}0.80$$

Step 2: Calculate the selling price per coconut for the first batch (initial selling price).
Three-fifth of the coconuts were sold at a profit of 40%.
Number of coconuts in the first batch:

$$N_1 = \frac{3}{5} \times 225 = 3 \times 45 = 135 \text{ coconuts}$$

Selling Price per coconut for the first batch ($SP_1$):

$$SP_1 = \text{CP} \times (1 + \text{Profit Percentage})$$ $$SP_1 = \text{GH¢}0.80 \times (1 + 0.40) = \text{GH¢}0.80 \times 1.40 = \text{GH¢}1.12$$

This $SP_1$ is the "initial selling price" mentioned in the problem.