hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    A and B start a business with capitals of Rs. 20,000 and Rs. 45,000. If the profit is divided in the ratio 2: 3, determine the ratio of the time perio
    Question

    A and B start a business with capitals of Rs. 20,000 and Rs. 45,000. If the profit is divided in the ratio 2: 3, determine the ratio of the time periods of investment for A and B.

    A.

    2 : 5

    B.

    3 : 2

    C.

    1 : 5

    D.

    5 : 2

    Correct option is B

    Given:
    Capital of A = Rs 20000
    Capital of B = Rs 45000
    Profit ratio of A to B = 2 : 3
    Formula Used:
    Ratio of Profit = (Capital of A × Time of A) : (Capital of B × Time of B)
    Solution:
    Let the time periods for A and B be represented as variables.
    Substitute the given values into the formula:
    20000×TA45000×TB=23\frac{20000 × T_A}{45000 × T_B} = \frac{2}{3}​​
    4×TA9×TB=23\frac{4 × T_A}{9 × T_B} = \frac{2}{3}​​
    TATB=23×94\frac{T_A}{T_B} = \frac{2}{3} × \frac{9}{4}​​
    TATB=1812\frac{T_A}{T_B} = \frac{18}{12}​​
    TATB=32\frac{T_A}{T_B} = \frac{3}{2}​​
    Final Answer
    So the correct answer is (b)

    Free Tests

    Free
    Must Attempt

    SSC GD Constable Exam Day Based Mock 1

    languageIcon English
    • pdpQsnIcon80 Questions
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    SSC GD PYP (Held on 4 Feb 2025 S1)

    languageIcon English
    • pdpQsnIcon80 Questions
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    Mathematics Section Test 1

    languageIcon English
    • pdpQsnIcon20 Questions
    • pdpsheetsIcon40 Marks
    • timerIcon25 Mins
    languageIcon English

    Similar Questions

    test-prime-package

    Access ‘SSC MTS (Similar PYPs)’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    433k+ students have already unlocked exclusive benefits with Test Prime!

    Similar Questions

    Our Plans
    Monthsup-arrow