To determine the original price of the car, we need to consider the relationship between the sold price, the profit percentage, and the original price. Given that the car was sold for N840,000, and this amount includes a 40% profit over the original price, we can set up the following steps to solve for the original price:
1. Define the Variables:
- Let [tex]\( S \)[/tex] represent the sold price of the car, which is N840,000.
- Let [tex]\( P\% \)[/tex] represent the profit percentage, which is 40%.
- Let [tex]\( O \)[/tex] represent the original price of the car.
2. Express Profit in Decimal Form:
- Convert the percentage profit to a decimal: [tex]\( P = 40/100 = 0.40 \)[/tex].
3. Formulate the Sold Price Equation:
- The sold price can be expressed as the original price plus the profit:
[tex]\[ S = O + (O \times P) \][/tex]
- Plug in the given values:
[tex]\[ 840,000 = O + (O \times 0.40) \][/tex]
4. Simplify the Equation to Solve for the Original Price:
- Combine the terms on the right-hand side:
[tex]\[ 840,000 = O \times (1 + 0.40) \][/tex]
[tex]\[ 840,000 = O \times 1.40 \][/tex]
5. Solve for [tex]\( O \)[/tex]:
- Isolate [tex]\( O \)[/tex] by dividing both sides of the equation by 1.40:
[tex]\[ O = \frac{840,000}{1.40} \][/tex]
[tex]\[ O = 600,000 \][/tex]
So, the original price of the car is N600,000.
Finally, comparing this result with the given choices, we see that the correct answer is:
A. N600,000
