A sum of Rs. 1200 is shared among A, B and C in the ratio \(2 : 3 : 5\). Which of the following statements are correct?
(A) A gets Rs. 200.
(B) B gets Rs. 360.
(C) C gets Rs. 600.
(D) C gets Rs. 360 more than A.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (B), (C) and (D) only
The ratio has \(2 + 3 + 5 = 10\) parts, so one part is
\(1200 \div 10 = 120\)
\(\text{A} = 2 \times 120 = 240\)
\(\text{B} = 3 \times 120 = 360\)
\(\text{C} = 5 \times 120 = 600\)
So A gets Rs. 240, B gets Rs. 360 and C gets Rs. 600.
Checking the statements
(A) A gets Rs. 200. — Incorrect. A gets \(2 \times 120 = 240\) rupees.
(B) B gets Rs. 360. — Correct. \(3 \times 120 = 360\).
(C) C gets Rs. 600. — Correct. \(5 \times 120 = 600\).
(D) C gets Rs. 360 more than A. — Correct. \(600 - 240 = 360\).