₹ 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?
Answer: A. ₹ 840 — SolutionGiven: \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…
- A.
₹ 840
- B.
₹ 960
- C.
₹ 1080
- D.
₹ 720
Attempted by 32 students.
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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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