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Let the Cost Price of article = CP He sold it at 20% loss, SP = CP×(100-20 / 100) = 0.8CP

If he had sold it at 5% gain, SP = CP×(100+5 / 100) = 1.05CP This is Rs. 100 more than 0.8CP

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Let the C.P Of the article be x Rs with a loss of 20% S.P = C.P - 20% of C.P S.P = x - (20/100)* x = x - x/5 =(5x - x)/5 =4x/5 ∴S.P = 4x/5 Rs When S.P is increased by Rs 100 there is a gain of 5% ∴S.P + 100 = C.P+5% of C.P ⇒4x/5 + 100 = x + (5/100)* x ⇒4x/5 - x - x/20 = - 100 ⇒(16x - 20x - x)/20 = - 100 ⇒ -- 5x = -- 100* 20 ⇒ --5x = -- 2000 ⇒ x = --2000/ --5 ∴ x = 400 ∴C.P = 400 Rs.