On selling a wardrobe at ₹3,437, the value of gain is 75% more than the value of loss incurred on selling it at ₹3,338. In order to gain 50%, find the selling price (in ₹).

Correct option is A

Given:
On selling a wardrobe at ₹3,437, the value of gain is 75% more than the value of loss incurred on selling it at ₹3,338
​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. 3338
​=> Loss = (x - 3338) ----(1)
​It gains when selling price = Rs. 3437
​=> Gain = (3437 - x)
​According to the question,
(3437- x) = (x - 3338) × $$\frac{175}{100}$$ 

​​(3437- x)=(x - 3338) × $$\frac{7}{4}$$
​=> 13748 - 4x = 7x - 23366
​=> 11x = 37114
​=> x = 3374
​=> SP to gain 50% = 150 × $$\frac{3374}{100} = 5061$$​​ 
​Alternate Method:
​Let the cost price be x.
Gain = (3437- x) and Loss  = (x - 3338)​
​According to the question.​

(3437- x) = (x - 3338) × $$\frac{175}{100}$$

​​(3437- x)=(x - 3338) × $$\frac{7}{4}$$
​=> 13748 - 4x = 7x - 23366
​=> 11x = 37114
​=> x = 3374
​=> SP to gain 50% = 150 × $$\frac{3374}{100} = 5061$$​​ 

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