Question

A trader sold an article for 5400 at a gain of 10%.find the cost price

Answer 1

To find the cost price (CP) of the article, you can use the formula for profit:

\[
\text{Selling Price (SP)} = \text{Cost Price (CP)} + \text{Profit}
\]

The profit can also be calculated in terms of the cost price using the percentage of profit:

\[
\text{Profit} = \frac{\text{Gain \%}}{100} \times \text{CP}
\]

Given that the selling price (SP) is 5400 and the gain percentage is 10%, we can express this as:

\[
\text{SP} = \text{CP} + \frac{10}{100} \times \text{CP}
\]

This simplifies to:

\[
5400 = \text{CP} + 0.1 \times \text{CP}
\]

Combining the terms on the right side gives:

\[
5400 = 1.1 \times \text{CP}
\]

Now, to find the cost price, divide both sides by 1.1:

\[
\text{CP} = \frac{5400}{1.1}
\]

Calculating this gives:

\[
\text{CP} = 4909.09
\]

Thus, the cost price of the article is approximately **4909.09**.