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Que: A juice manufacturer has 2,000 liters of mango pulp in stock, 40 percent of which is water.....

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by Max@Math Revolution » Sat Jun 12, 2021 8:42 pm

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E

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Que: A juice manufacturer has 2,000 liters of mango pulp in stock, 40 percent of which is water. If the manufacturer adds another 1,000 liters of mango pulp of which 50 percent is water, what percent, by volume, of the manufacturer’s mango pulp contains water?

(A) 10%
(B) 16.67%
(C) 26.67%
(D) 43.33%
(E) 65%
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Re: Que: A juice manufacturer has 2,000 liters of mango pulp in stock, 40 percent of which is water.....

by Max@Math Revolution » Sun Jun 13, 2021 9:19 pm
Solution: The resultant percentage will be the weighted average of the percentages of the above two stocks.

=> \(\frac{\left[2,000\cdot\frac{40}{100}\right]+\left[1,000\cdot\frac{50}{100}\right]}{2,000+1,000}\cdot100\)

=> \(\frac{800+500}{3,000}\cdot100\)

=> \(\frac{1,300}{3,000}\cdot100=43.33\%\)

Therefore, D is the correct answer.

Answer D
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