On selling a table fan at Rs.2,827.06, the value of gain is 14% more than the value of loss incurred on selling it at Rs.2,230. In order to gain 14%, the selling price will be:

Correct option is C

Given:
When article sold at Rs. 2,827.06 it gains 14% more than value when article sold at Rs. 2230 it losses
Formula Used:
Loss = cost price - selling price
Gain = selling price - cost price
Gain% =$$\frac{\text{Gain}}{\text{Cost Price}}$$​× 100
Solution:
Let the cost price be x
It losses when selling price = Rs. 2230
=> Loss = (x - 2230) ----(1)
It gains when selling price = Rs. 2827.06
=> Gain = (2827.06 - x)
According to the question,
(2827.06 - x) = (x - 2230) × $$\frac{114}{100}$$​​
=> 282706 - 100x = 114x - 254220
=> 214x = 536926
=> x = 2509
=> SP = 114 × $$\frac{2509}{100}$$​ = Rs. 2860.26
∴ The selling price will be Rs. 2860.26
Alternate Method:
Let the cost price be x.
Gain = (2827.06 - x) and Loss = (x - 2230)
According to the question.
=> (2827.06 - x) = (x - 2230) × (114/100)
=> 282706 - 100x = 114x - 254220
=> 214x = 536926
=> x = 2509
New SP = 114 × $$\frac{2509}{100}$$​ = Rs. 2860.26