The initial mixture contains kerosene and turpentine oil in the ratio 3:2. Total mixture =100L Kerosene =(3∕5)×100=60L Turpentine oil =(2∕5)×100=40L Final kerosene percentage =20% Formula used: Final kerosene in the mixture = Total mixture ×( Final kerosene percentage ∕100) Additional kerosene to be added = Final kerosene - Initial kerosene Calculation: Let the additional kerosene to be added =xL. Total mixture after adding kerosene =100+xL Kerosene in the new mixture =60+xL For 20% kerosene in the final mixture: ⇒(60+x)∕(100+x)=20∕100 ⇒(60+x)=(20∕100)×(100+x) ⇒60+x=20×(100+x)∕100 ⇒60+x=(2000+20x)∕100 ⇒100(60+x)=2000+20x ⇒6000+100x=2000+20x ⇒6000−2000=20x−100x ⇒4000=−80x ⇒x=−4000∕80 ⇒x=−50
