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Let CP = 100 when gain = 15% sp = 100+15 = 115 when gain = 20% sp = 100 + 20 =120 difference = 120 -115 = 5 Applying Unitary method: when sold for 5 more the cp of the article = 100 when sold for 108 more the cp of the article = 100/3*108 which is rs.3600 CP = 3600

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Method 1 let the CP be Rs x now, gain % =15% gain = 15x/100 =3x/20 so, SP =CP + gain = x+ 3x/20 = 23x/20 now, if SP = 23x/20 + 108 gain % = 20 gain = 20x/100 = x/5 SP = x+x/5 = 6x/5 but SP =23x/20 + 108 so, 23x/20 + 108 = 6x/5 ⇒6x/5 - 23x/20 = 108 ⇒x/20 = 108 ⇒x = 2160 so, CP = Rs 2160