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 1/3, 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. (SSC CGL MAINS 19 JAN 2026)

A, B और C एक व्यवसाय में 2:3:5 के अनुपात में निवेश करते हैं। 4 महीने बाद, A अपनी पूंजी में 50% की वृद्धि करता है, B अपनी पूंजी में 1/3 की कमी करता है और C अपनी पूंजी को अपरिवर्तित रखता है। वर्ष के अंत में, यदि कुल लाभ 33,000 रुपये है, तो B का हिस्सा ज्ञात कीजिए।

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

Initial investment ratio of A : B : C = 2 : 3 : 5.

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

After 4 months changes occur.

A increases capital by 50% → new capital = 2 × 1.5 = 3
B decreases capital by 1/3 → new capital = 3 × (2/3) = 2
C remains same → 5

For remaining 8 months:
A = 3 × 8 = 24
B = 2 × 8 = 16
C = 5 × 8 = 40

Total capital-time:
A = 8 + 24 = 32
B = 12 + 16 = 28
C = 20 + 40 = 60

Profit ratio = 32 : 28 : 60
= 8 : 7 : 15

Total ratio = 30

B's share = (7/30) × 33000
= 7700.

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