Multiple choice

X and Y enter into a partnership with capital in the ratio 3 ∶ 5. After 5 months X adds 50% of his capital, while Y withdraws 60% of his capital. What is the share (in Rs. lakhs) of X in the annual profit of Rs. 6.84 lakhs?

  1. 3.12

  2. 3.6

  3. 3.72

  4. 4.5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let X = 3x, Y = 5x. For first 5 months: X invests 3x, Y invests 5x. For next 7 months: X invests 4.5x (50% more), Y invests 2x (60% withdrawn). Equivalent investments: X = 3x×5 + 4.5x×7 = 46.5x, Y = 5x×5 + 2x×7 = 39x. Ratio is 46.5:39 = 31:26. X's share = (31/57) × 6.84 = 3.72 lakhs.

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