Mahathi purchased a cooker at nine-tenth of its marked price and sold it for 8% more than its marked price. Find the gain percentage.

Correct option is D

Given:

Mahathi purchased the cooker at $$\frac{9}{10}$$​ of the marked price:

Mahathi sold the cooker for 8% more than its marked price:

Formula Used:

Gain Percentage =$$\frac{\text{Gain}}{\text{Cost Price}} \times 100$$​

Where gain is the difference between the selling price and the cost price.

Solution:

Let the marked price of the cooker be M.

Cost Price (C.P.) = $$\frac{9}{10}$$​M

Selling Price (S.P.) = M + 0.08M = 1.08M

Gain =$$1.08M - \frac{9}{10}M = \frac{108}{100}M - \frac{90}{100}M = \frac{18}{100}M = 0.18M$$​

Gain Percentage =$$\frac{0.18M}{\frac{9}{10}M} \times 100 = \frac{0.18}{0.9} \times 100 = 20\%$$​

Thus, the gain percentage is 20%.

Alternate Method: 

Gain % = $$\frac{18}{90}\times100\%= 20\%$$​