A man sold an article for Rs. 219, there by gaining 9.5%. The cost of the article (in Rs. ) was:

Correct option is D

Given:

Selling price of the article = Rs. 219

Gain percentage = 9.5%

Formula Used:

SP = $$\text{CP} \times \left(1 + \frac{\text{Gain \%}}{100}\right)$$​​

Solution:

Applying the formula;

219 = CP × $$\left(1+\frac{9.5}{100}\right)$$​​

CP = $$\frac{219}{1 + \frac{9.5}{100}}$$​​

= $$\frac{219}{1 + 0.095}$$​​

 = $$\frac{219}{1.095}$$​​

 = 200

Thus, the cost price of the article is Rs. 200