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The ratio of water and milk in a 30 liter mixture is 7 : 3. Find the quantity of water to be added to the mixture in order to make this ratio 6 : 1.

A. 30

B. 32

C. 33

D. 35

Answer: Option C

Solution(By Examveda Team)

Here,Let water = 7x and milk = 3x
Now,
7x + 3x = 30
x = 3
So, water = 7x = 7 × 3 = 21 liter
Milk = 3x = 3 × 3 = 9 liter

Now, we keep milk constant and add water to mixture to get ratio 6 : 1
Let water in this mixture = 6y and milk = y
We have, milk = 9 liter, so y = 9 liter
Water = 6y = 6 × 9 = 54 liter
Then extra water to be added is 33 liter

This Question Belongs to Arithmetic Ability >> Ratio

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Comments ( 4 )

  1. Maarij Qazi
    Maarij Qazi :
    4 months ago

    ratio 7 = water
    ratio 3 = milk
    total ratio (10) = 30 liters
    so, 30--------------10 (for milk)
    m -------------- 3 (cross multiply)
    30 x 3 = m(10)
    milk=9
    water =21 liters

    let x amount of water added to mixture and new ratio is 6 : 1
    so, water milk
    21+x : 9
    6 : 1
    (21+x) 1 = 6 x 9
    21+x = 54
    x=33 ANSWER

  2. Keerti Patwa
    Keerti Patwa :
    7 years ago

    The previous ratio is 7:3 now,
    Quantity of water in mixture= 30*7/10=21
    Quantity of milk in mixture=30*3/10=9
    The new ratio is 6:1
    So, let water added=x
    According to new ratio,
    (21+x)/9=6/1
    21+x=54
    x=33
    The extra water added is 33 liters.

  3. Deep Ghosh
    Deep Ghosh :
    8 years ago

    when 1 liter of water is added to a mixture of milk and water,the new mixture contains 20% milk.when 1 liter of milk is added to the new mixture the resulting mixture contains 33 % milk.the % of milk in the original mixture was?

  4. Ankur
    Ankur :
    9 years ago

    i dont understand this solution

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