william buys a geyser for certain price but due to some defect he decides to sell the geyser and so he reduces the selling price of the geyser buy and sell it to the one of the customers. when he calculates the overall 100 transaction he finds that his expected gain of 10% turns into the loss of 10%. what was the original selling price of the geyser?
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Let the original s.p. be y.
Since there is a gain of 10% on the original s.p.
C.P. = [100/100+10] × y = 10/11y
S.P is reduced by 100 and there's a loss of 10%.
C.P. = [100/(100-10)] × (y-100) = 100/90(y-100) = (11y - 9y)/9 = 1100/9
y = 1100/2 = Rs 550
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