a car was sold for 1430 thus makig a loss of 35 percent. what was the cost price 

To find the cost price of the car, we can use the formula related to percentage loss:

\[
\text{Loss \%} = \frac{\text{Cost Price} - \text{Selling Price}}{\text{Cost Price}} \times 100
\]

Given:
- Selling Price (SP) = 1430
- Loss \% = 35

Let's denote the Cost Price (CP) by $ x $.

The formula for loss in terms of CP and SP is:

\[
\text{Loss} = \text{CP} - \text{SP}
\]

The loss in percentage form can be written as:

\[
\text{Loss \%} = \frac{\text{CP} - \text{SP}}{\text{CP}} \times 100
\]

Substituting the given values:

\[
35 = \frac{x - 1430}{x} \times 100
\]

Now, solve for $ x $:

\[
\frac{x - 1430}{x} = \frac{35}{100}
\]

\[
\frac{x - 1430}{x} = 0.35
\]

\[
x - 1430 = 0.35x
\]

\[
x - 0.35x = 1430
\]

\[
0.65x = 1430
\]

\[
x = \frac{1430}{0.65}
\]

\[
x = 2200
\]

So, the cost price of the car was **2200**.

Would you like more details or have any questions?

Here are five related questions:
1. How do you calculate the selling price if the loss percentage and cost price are known?
2. What would the selling price be if the car was sold at a profit of 20% instead?
3. If the car was sold for 1100, what would the loss percentage be?
4. How does the cost price affect the selling price and loss percentage?
5. Can you calculate the break-even price to avoid any loss?

**Tip:** When dealing with percentage problems, always remember to express percentages as fractions or decimals in calculations to avoid errors.

Learn how to calculate the cost price of an item when the selling price and percentage loss are known. This problem involves applying the percentage loss formula to determine the cost price of a car sold at a loss of 35% for $1430. Suitable for Grades 7-9.

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