Answer :
To determine the car's original cost before it was sold for ₦840,000, with the selling price being 40% more than the original cost, follow these steps:
1. Understand the relationship between the original cost and selling price:
The selling price is 40% more than the original cost. If we denote the original cost by [tex]\( C \)[/tex], then the selling price can be expressed as:
[tex]\[ \text{Selling Price} = C + 0.40C = 1.40C \][/tex]
2. Set up the equation:
We know the selling price is ₦840,000. Using the above relationship:
[tex]\[ 1.40C = 840,000 \][/tex]
3. Solve for the original cost [tex]\( C \)[/tex]:
To isolate [tex]\( C \)[/tex], divide both sides of the equation by 1.40:
[tex]\[ C = \frac{840,000}{1.40} \][/tex]
4. Perform the division:
[tex]\[ C \approx 600,000 \][/tex]
Therefore, the original cost of the car is ₦600,000.
So, the correct answer is:
A. ₦600,000
1. Understand the relationship between the original cost and selling price:
The selling price is 40% more than the original cost. If we denote the original cost by [tex]\( C \)[/tex], then the selling price can be expressed as:
[tex]\[ \text{Selling Price} = C + 0.40C = 1.40C \][/tex]
2. Set up the equation:
We know the selling price is ₦840,000. Using the above relationship:
[tex]\[ 1.40C = 840,000 \][/tex]
3. Solve for the original cost [tex]\( C \)[/tex]:
To isolate [tex]\( C \)[/tex], divide both sides of the equation by 1.40:
[tex]\[ C = \frac{840,000}{1.40} \][/tex]
4. Perform the division:
[tex]\[ C \approx 600,000 \][/tex]
Therefore, the original cost of the car is ₦600,000.
So, the correct answer is:
A. ₦600,000
