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A, Band C start a business jointly. Twice the capital of A is equal to thrice the capital of B. The capital of B is four times the capital of C. Find
Question

A, Band C start a business jointly. Twice the capital of A is equal to thrice the capital of B. The capital of B is four times the capital of C. Find the share of B if the annual profit is Rs. 2,97,000.

A.

Rs. 1,08,800

B.

Rs. 10,800

C.

Rs. 1,08,000

D.

Rs. 18,000

Correct option is C

Given:

the annual profit is Rs. 2,97,000.

Twice the capital of A is equal to thrice the capital of B

The capital of B is four times the capital of C.

Solution:

let capital of A =A

let capital of B=B

let capital of C=A

condition 1

Twice the capital of A is equal to thrice the capital of B

2A=3B

A:B =3:2

Condition 2

The capital of B is four times the capital of C.

B=4C

B:C = 4:1

A:B:C = 6:4:1

total A+B+C =11 = RS2,97,000.

profit of B =RS2,97,000.×411\frac{RS2,97,000.\times4}{11}

Rs 108000

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