Question

Sureshrao sold an article for Rs. 1962 and earned a profit of 9%. What was the cost price of that article? ​

Answer 1

Step-by-step explanation:

Let the C. P. be x.

Profit = 8%

$\displaystyle{\sf \leadsto{x + x \times \frac{9}{100} = 1962}}$

$\displaystyle{\sf \leadsto{x + \frac{9x}{100} = 1962}}$

$\displaystyle{\sf \leadsto{ \frac{100x + 9x}{100} = 1962 }}$

$\displaystyle{\sf \leadsto{ \frac{109x}{100} = 1962 }}$

$\displaystyle{\sf \leadsto{x = 1962 \times \frac{100}{109} }}$

$\displaystyle{\sf \leadsto{x = \cancel\frac{196200}{109} }}$

$\displaystyle{\sf \leadsto{x = 1800}}$

Therefore, the C. P. is ₹1800.