A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 . After 4…

2025

A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 . After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:

  1. A.

    Rs. 2100

  2. B.

    Rs. 2400

  3. C.

    Rs. 3600

  4. D.

    Rs. 4000

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Correct answer: D

Step 1: Convert the given ratios to a common denominator.

7/2 : 4/3 : 6/5 = (7×15)/(2×15) : (4×10)/(3×10) : (6×6)/(5×6) = 105 : 40 : 36.

Step 2: Let initial investments be 105x, 40x, 36x respectively.

  1. A invests 105x for first 4 months, then increases by 50% → new amount = 105x × 1.5 = 157.5x for remaining 8 months.

  2. A’s time-weighted contribution = 105x×4 + 157.5x×8 = 420x + 1260x = 1680x.

  3. B’s contribution = 40x×12 = 480x.

  4. C’s contribution = 36x×12 = 432x.

Step 3: Form the profit-sharing ratio and simplify.

1680 : 480 : 432 = (divide each by 48) = 35 : 10 : 9. Total parts = 35 + 10 + 9 = 54.

Step 4: Compute B’s share of the total profit Rs. 21,600.

B’s share = 10/54 × 21600 = (21600 ÷ 54) × 10 = 400 × 10 = Rs. 4000

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