₹ 3080 is divided among A, B, and C such that half of A's share, one-third of…

2023

₹ 3080 is divided among A, B, and C such that half of A's share, one-third of B's share, and one-sixth of C's share are equal. What is B's share?

  1. A.

    ₹ 840

  2. B.

    ₹ 960

  3. C.

    ₹ 1080

  4. D.

    ₹ 720

Attempted by 19 students.

Show answer & explanation

Correct answer: A

Solution

Given:
\frac{A}{2}=\frac{B}{3}=\frac{C}{6}
Let the common value be (x).

So,

A=2x,\quad B=3x,\quad C=6x
Total amount: A+B+C=3080
2x+3x+6x=3080
11x=3080
x=280

Now, B's share: B=3x=3 \times 280=840
Therefore, B's share = ₹840

Correct Answer: ₹840

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