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?

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.