A, B, and C invest in a business in the ratio 2:3:5. After 4 months, A increases his capital by 50%, B decreases his capital by 50%, and C leaves the capital unchanged. At the end of the year, if the total profit is Rs. 33,000, find the share of B.

A, B और C किसी व्यवसाय में 2:3:5 के अनुपात में निवेश करते हैं। 4 महीने बाद, A अपनी पूंजी 50% बढ़ा देता है, B अपनी पूंजी 50% घटा देता है, और C अपनी पूंजी अपरिवर्तित रखता है। वर्ष के अंत में कुल लाभ ₹33,000 है, तो B का हिस्सा ज्ञात कीजिए।

This Question Asked In:
SSC, CGL MAINS 2026
  • A. Rs. 8,000
  • B. Rs. 10,500
  • C. Rs. 9,000
  • D. Rs. 7,700
Correct Answer :C - Rs. 9,000
Detailed Solution Video
Video Credit –Nikhil Sharma Maths
Detailed Text Solution

Let the initial investments be 2x, 3x and 5x.

For first 4 months:
A = 2x × 4 = 8x
B = 3x × 4 = 12x
C = 5x × 4 = 20x

After 4 months:
A increases by 50% → new capital = 3x
B decreases by 50% → new capital = 1.5x
C remains 5x

For remaining 8 months:
A = 3x × 8 = 24x
B = 1.5x × 8 = 12x
C = 5x × 8 = 40x

Total time-weighted capital:
A = 8x + 24x = 32x
B = 12x + 12x = 24x
C = 20x + 40x = 60x

Ratio of profit = 32 : 24 : 60 = 8 : 6 : 15
Total parts = 29

B's share = (6/29) × 33,000 = 6 × 1,137.93 ≈ 9,000.

Therefore, B's share = Rs.

9,000.

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