Rs 3,600 is divided among A, B and C in the ratio \(2:3:4\).
Consider the following statements:
I. B gets Rs 1,200.
II. C gets Rs 400 more than B.
III. A’s share is half of C’s share.
Which of the above statements is/are correct?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → I, II and III
Each share \(=\) its term \(\div\) sum of the terms \(\times\) total. The sum of the terms is \(2+3+4=9\), so one part \(=\displaystyle\frac{3600}{9}=\) Rs 400.
I. B gets Rs 1,200. — Correct. B has 3 parts: \(3\times400=\) Rs 1200.
II. C gets Rs 400 more than B. — Correct. C has one part more than B.
C \(=4\times400=\) Rs 1600
\(1600-1200=\) Rs 400
III. A’s share is half of C’s share. — Correct. A has 2 parts and C has 4: A \(=2\times400=\) Rs 800, half of Rs 1600.