Three partners, A, B, and C started a firm with investments in the ratio 3:2:4.
Three partners, A, B, and C started a firm with investments in the ratio 3:2:4. After 6 months, A doubled his capital, B halved his, and C maintained his investment. If the total profit after one year was Rs. 1,80,000, what was B’s share of profit?
तीन साडोदारों, A, B और C ने 3 : 2 : 4 के अनुपात में निवेश के साथ एक फर्म शुरू की। 6 महीने बाद, A ने अपनी पूँजी दोगुनी कर दी, B ने अपनी आधी कर दी, और C ने अपना निवेश बनाए रखा। अगर एक वर्ष बाद कुल लाभ 1,80,000 रुपये था, तो लाभ में 8 का हिस्सा क्या था?
Detailed Solution & Logic
Rs. 27,000/ 27,000 रुपये
Solution:
Let the initial investments be $3x,;2x,;4x$.
Investment-time products:
- A: First 6 months $= 3x \times 6 = 18x$
Next 6 months $= 6x \times 6 = 36x$
Total $= 54x$ - B: First 6 months $= 2x \times 6 = 12x$
Next 6 months $= x \times 6 = 6x$
Total $= 18x$ - C: Whole year $= 4x \times 12 = 48x$
Profit-sharing ratio
= 54 : 18 : 48 = 9 : 3 : 8
Total parts
= 9 + 3 + 8 = 20
B's share
$= \frac{3}{20} \times 180000 = 27000$
Answer: (C) Rs. 27,000 / 27,000 रुपये
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