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Question
By selling a speaker for ₹ 768, a man loses 20%. In order to gain 20%, how much should he sell the speaker?
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Solution
Selling price (S.P) of speaker = ₹ 768
Loss % = 20%
as per formula
S.P = `"C.P" xx ((10 - "loss"%))/100`
∴ 768 = `"C.P" xx ((100 - 20)/100)`
∴ C.P = `(768 xx 100)/80` = 960
For gain of 20%, we should now calculate the selling price
∴ S.P = `"C.P" xx ((100 + "gain"%)/100)`
= `960((100 + 20)/100)`
= `960 xx 120/100`
= 96 × 12
= ₹ 1152
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