hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    A vessel contains 80 liters of a mixture of milk and water in the ratio of 11:5, respectively. If 32 liters of mixture are taken out, then how much qu
    Question


    A vessel contains 80 liters of a mixture of milk and water in the ratio of 11:5, respectively. If 32 liters of mixture are taken out, then how much quantity of milk should be added to the mixture such that the ratio of milk to water becomes 8:3, respectively?

    A.

    10

    B.

    9

    C.

    7

    D.

    4

    E.

    6

    Correct option is C


    Information Given:
    Total mixture in the vessel = 80 liters
    Ratio of milk to water in the mixture = 11:5
    32 liters of the mixture is taken out.
    Formulas Used:
    Milk=Total mixture×Milk ratioTotal ratio\text{Milk} = \frac{\text{Total mixture} \times \text{Milk ratio}}{\text{Total ratio}}
    Water=Total mixture×Water ratioTotal ratio\text{Water} = \frac{\text{Total mixture} \times \text{Water ratio}}{\text{Total ratio}}
    New ratio of milk to water=New quantity of milkNew quantity of water\text{New ratio of milk to water} = \frac{\text{New quantity of milk}}{\text{New quantity of water}}
    Basic Explanation:
    Quantity of milk = 80×11/16=55 litres
    Quantity of water = 80-55=25 litres
    Let quantity of milk added be x liters
    ATQ,
    3(33+x)=8(15)
    33+x=40
    x=7

    Free Tests

    Free
    Must Attempt

    SBI Clerk Prelims Full Mock Test-01

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    SBI Clerk Prelims Full Mock Test-02

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    SBI Clerk Prelims Reasoning Section Test 04

    languageIcon English
    • pdpQsnIcon35 Questions
    • pdpsheetsIcon35 Marks
    • timerIcon20 Mins
    languageIcon English

    Similar Questions

    test-prime-package

    Access ‘IBPS Clerk’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    399k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow