A vessel contains milk with 90% pure milk. A part of it is drunk by the maid of the house and replaced with water. The resultant mixture has only 75% pure milk. How much did the maid drink?
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Answer:
1/6 th of total
Step-by-step explanation:
total percent=90
percentage drank= 90-75=15
therefore the maid drunk 15% of 90=15/90=1/6
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A vessel contains milk with 90% pure milk. A part of it is drunk by the maid of the house and replaced with water. The resultant mixture has only 75% pure milk. How much did the maid drink?
let say 100X is the volume
Pure Milk = (90/100)*100X = 90X
let say Y part is drunk
then 0.90Y pure milk is drunk
remaining pure milk = 90X - 0.9Y
90X - 0.9Y is 75 % of 100X
((90X -0.9Y)/(100X ) * 100 = 75
90X - 0.9Y = 75X
15X = 0.9Y
15X = 9Y/10
Y = 150X/9
Y = 300X/18
Y = (3/18)100X
Y = (1/6)100X
1/6 part of solution she drank.
16.67 %
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