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Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.

A. Rs. 4000

B. Rs. 5000

C. Rs. 6000

D. Rs. 7000

Answer: Option C

Solution(By Examveda Team)

Suppose C's capital = x then
B's capital = 4x (Since B's Capital is four times C's capital)
A's capital = 6x ( Since twice A's capital is equal to thrice B's capital)
A : B : C =6x : 4x : x
= 6 : 4 : 1
B's share = $$16500 \times \frac{4}{{11}}$$   = 1500 × 4 = 6000.

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Comments ( 7 )

  1. MD Rafij
    MD Rafij :
    2 years ago

    2A=3B
    A:B=3:2
    B=4C
    B:C=4:1
    A:B:C=6:4:1
    B's share is 16500*(4/11)=6000

  2. Bogi Venkatesh
    Bogi Venkatesh :
    2 years ago

    I think the word "twice" was wrongly inserted in the second line of question.

    The answer provided by exam Veda will be correct only if we eliminate that "twice" word from the second line.

  3. Sengsrang Momin
    Sengsrang Momin :
    2 years ago

    Here Twice A capital is equal to 3B capital
    As we know B capital=4x
    So as per question statement
    2A=3B
    2A=3(4x)
    So A=12x/2
    A=6x

  4. Lokesh Venkatesan
    Lokesh Venkatesan :
    2 years ago

    Suppose C's capital = x then
    B's capital = 4x (Since B's Capital is four times C's capital)
    A's capital = 12x ( Since twice A's capital is equal to thrice B's capital)
    A:B:C = 12x : 4x : x
    = 12 : 4 : 1
    B's share = 16500 * (4/17) = 1500*4 = 3882.35

    It's correct right?

  5. Lokesh Venkatesan
    Lokesh Venkatesan :
    2 years ago

    Hey..! B's capital = 4X
    So, A's capital = 4X(3) = 12X ( Since twice A's capital is equal to thrice B's capital)
    isn't it? Reply?

  6. Bhanu Pratap
    Bhanu Pratap :
    2 years ago

    what is role of number 11, is this month or any other thing??

  7. Its Somrat's
    Its Somrat's :
    2 years ago

    B=4x
    A=4x*3=12x?????
    isnt it??

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