Rs. 1360 is divided among A, B, and C so that A gets two-thirds of what B gets and B gets one-fourth of what C gets. What is B's share?
Aptitude
Simplification
Difficulty: Medium
Choose an option
Answer
Correct Answer: Rs. 240
Explanation
Given data
- A = (2/3)B.
- B = (1/4)C ⇒ C = 4B.
- Total A + B + C = 1360.
Concept / Approach
- Express all shares in terms of B and solve for B.
Step-by-step calculation
Sum = (2/3)B + B + 4B = (2/3 + 5)B = (17/3)B.(17/3)B = 1360 ⇒ B = 1360 × 3 / 17 = 80 × 3 = Rs. 240.
Verification
A = (2/3)×240 = 160; C = 4×240 = 960; total = 160 + 240 + 960 = 1360 ✔.
Common pitfalls
- Inverting the relation B = (1/4)C incorrectly.
Final Answer
Rs. 240.