A sum of Rs. 1360 has been divided among A, B and C such that A gets 2/3rd of…

2023

A sum of Rs. 1360 has been divided among A, B and C such that A gets 2/3rd of what B gets and B gets 1/4th of what C gets. B's share is:

  1. A.

    Rs.500

  2. B.

    Rs. 240

  3. C.

    Rs. 320

  4. D.

    Rs.250

Attempted by 24 students.

Show answer & explanation

Correct answer: B

Solution: Use algebra to express all shares in terms of C.

  1. Let C's share = x. Then B's share = x/4 and A's share = (2/3) of B = (2/3) × (x/4) = x/6.

  2. Add the shares: x + x/4 + x/6 = 1360.

  3. Combine terms: common denominator 12 gives (12x + 3x + 2x)/12 = 17x/12 = 1360.

  4. Solve for x: x = 1360 × 12 / 17 = 960. So C = Rs. 960.

  5. Find B: B = x/4 = 960/4 = Rs. 240. Hence B's share is Rs. 240.

Check (optional): A = x/6 = 160, B = 240, C = 960; total = 160 + 240 + 960 = 1360, which matches the given sum.

Explore the full course: Infosys Preparation