On selling a stool for ₹8,378, the value of gain is 20% more than the value of loss incurred on selling it for ₹1,756. In order to gain 50%, find the selling price (in ₹).
Given:
Selling Price 1 SP1 = ₹8378 (with gain)
Selling Price 2 SP2 = ₹1756 (with loss)
Gain = 20% more than loss
Required gain = 50%
Solution:
Let Cost Price = x
According to the question;
8378 − x = (x − 1756)
8378 - x = 1.2x - 2107.2
8378 + 2107.2 = 1.2x + x
10485.2 = 2.2x
x = = 4766
To gain 50%,
SP = x + 0.5x = 1.5x = = ₹7149
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