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80% milk solution is mixed with 30% milk solution to produce 45 liter of 50% milk solution. If the price of 45 liter of 50% milk solution is Rs.1,080 and the price of 30% milk solution is Rs. 20 per liter, then what is the price of 80% milk solution in the final mixture?1). Rs.6402). Rs.6503). Rs.4004). Rs.250 |
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Answer» Say there is X liters of 30% milk solution and REMAINING (45 – X) liters of 80% milk. AMOUNT of milk in the solution = 0.30X + 0.80(45 – X) Amount of milk in 45 liters of 50% solution = 0.50 × 45 = 22.5 ∴ 0.30X + 36 – 0.8X = 22.5 ⇒ 0.5X = 13.5 ⇒ X = 27 liters Volume of 80% milk in the mixture = 45 – X = 18 liters. Price of 30% milk at Rs.20 PER liter = 20 × 27 = Rs.540 Price of 80% milk = 1080 – 540 = Rs.540 |
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