How may kilograms of butter worth ₹140 per kg must be mixed with 20kg of butter worth ₹150 per kg to produce a mixture worth ₹144 per kg?
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let x kg of butter @Rs140/kg be added to 20kg of butter @Rs 150/kg
total price = 140×x + 150×20 = 140x + 3000
after mixing, (x+20) kg of butter is produced @Rs144/kg
144×(x+20) = 140x+3000
⇒144x + 144×20 = 140x + 3000
⇒ 144x - 140x = 3000 - 144×20
⇒ 4x = 3000-2880 = 120
⇒ x = 120/4 = 30kg
So required answer is 30kg
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kulsoom200904:
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