To solve the problem of how many goats the trader bought, we need to break down the information given and use some basic mathematical concepts. Let's go through the steps carefully. ### Step 1: Understand the Selling Price and Loss The trader sold the goats for N180,000 at a loss of 25%. This means that the selling price is 75% of the original cost price (because 100% - 25% = 75%). ### Step 2: Calculate the Cost Price Let’s denote the total cost price of the goats as \( C \). The relationship between the selling price and the cost price can be expressed as: \[ \text{Selling Price} = \text{Cost Price} \times (1 - \text{Loss Percentage}) \] In this case, the loss percentage is 25%, so: \[ \text{Selling Price} = C \times 0.75 \] We know the selling price is N180,000, so we can set up the equation: \[ 180,000 = C \times 0.75 \] ### Step 3: Solve for Cost Price To find \( C \), we can rearrange the equation: \[ C = \frac{180,000}{0.75} \] Calculating this gives: \[ C = 240,000 \] This means the total cost price of all the goats is N240,000. ### Step 4: Determine the Number of Goats Now, we know that each goat was bought for N4,000. To find out how many goats were bought, we can use the formula: \[ \text{Number of Goats} = \frac{\text{Total Cost Price}}{\text{Cost Price per Goat}} \] Substituting the values we have: \[ \text{Number of Goats} = \frac{240,000}{4,000} \] Calculating this gives: \[ \text{Number of Goats} = 60 \] ### Conclusion The trader bought **60 goats**. Therefore, the correct option is **A. 60**. ### Explanation of Other Options - **Option B (50)**: If the trader had bought 50 goats, the total cost would be \( 50 \times 4,000 = 200,000 \). Selling at a loss of 25% would mean selling for \( 200,000 \times 0.75 = 150,000 \), which does not match the selling price of N180,000. - **Option C (45)**: If the trader had bought 45 goats, the total cost would be \( 45 \times 4,000 = 180,000 \). Selling at a loss of 25% would mean selling for \( 180,000 \times 0.75 = 135,000 \), which again does not match the selling price of N180,000. - **Option D (36)**: If the trader had bought 36 goats, the total cost would be \( 36 \times 4,000 = 144,000 \). Selling at a loss of 25% would mean selling for \( 144,000 \times 0.75 = 108,000 \), which does not match the selling price of N180,000. ### Revision Summary - The selling price of N180,000 represents 75% of the total cost price due to a 25% loss. - The total cost price was calculated to be N240,000. - Dividing the total cost price by the cost per goat (N4,000) gives the number of goats bought as 60. - The other options do not satisfy the conditions of the problem based on the calculations.