Question

an article is sold for rs 17000 incurring a loss of 15% .find the cost price of the article ​

Answer 1

Answer:

the cost of the artical -Rs 16985

Answer 2

Solution

Selling Price of the article (SP) = ₹17,000

Loss (r) = 15%

Cost Price (CP) = ?

$\tt{SP=\bigg(1- \dfrac{r}{100}\bigg)CP}$

$\tt \implies{SP=\bigg(1- \dfrac{15}{100}\bigg)CP}$

$\sf\implies{17000=\bigg(\dfrac{17}{20}\bigg)CP}$

$\sf\implies{CP=\dfrac{20}{17}×17000}$

$\sf\implies{CP=₹20,000}$

∴ Cost Price of the article is ₹20,000.

Additional Information

Profit = SP - CP

Profit% = P/CP × 100

Loss = CP - SP

Loss% = L/CP × 100