After getting two succesive discount s a shirt with a list of rs 160 is available at rs.106.if the second discount is 12.5%.find the first discount
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Let the first discount be xx%
Then , 97.5% of (100 - xx)% of 150 = 105
⇒ 87.5100×100−x100×150= 105 ⇒ 100−x =(105×100×100150×87.5)87.5100100x100150105100x10510010015087.5 = 80
⇒ x= (100−80) =20.x1008020
∴ First discount = 20%
Then , 97.5% of (100 - xx)% of 150 = 105
⇒ 87.5100×100−x100×150= 105 ⇒ 100−x =(105×100×100150×87.5)87.5100100x100150105100x10510010015087.5 = 80
⇒ x= (100−80) =20.x1008020
∴ First discount = 20%
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