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27 Dec 2019, 01:54
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
48% (02:43) correct
52%
(03:10)
wrong
based on 108
sessions
History
Date
Time
Result
Not Attempted Yet
A and B enter into a partnership by contributing Rs.1,00,000 and 1,50,000 respectively. After 3 months C joins them by contributing a capital of 2,00,000. Four months before the end of the year, B quits, taking his share of the capital away with him. Because of this A adds another 50,000 of capital from his side. At the end of the year the partnership makes a profit of Rs.1,65,000. What will be the difference between C’s share and A’s share of the profit?
A. 11,000
B. 13,000
C. 15,000
D. 18,250
E. 22,000
A. 11,000
B. 13,000
C. 15,000
D. 18,250
E. 22,000
27 Dec 2019, 13:06
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Profit made is directly proportional to (investment*time)
\(P_A\) : \(P_B\) : \(P_C\) = (100,000*12+50,000*4) : (150,000*8) : (200,000*9)
\(P_A\) : \(P_B\) : \(P_C\) = 7 : 6 : 9
difference between C’s share and A’s share of the profit= \(\frac{(9-7)}{(7+6+9)} * 165,000\) = 15,000
\(P_A\) : \(P_B\) : \(P_C\) = (100,000*12+50,000*4) : (150,000*8) : (200,000*9)
\(P_A\) : \(P_B\) : \(P_C\) = 7 : 6 : 9
difference between C’s share and A’s share of the profit= \(\frac{(9-7)}{(7+6+9)} * 165,000\) = 15,000
Bunuel
General Discussion
28 Dec 2019, 21:00
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Bunuel
We see that A’s investment is 100,000 for the first 8 months and 150,000 for the next 4 months, B’s investment is 150,000 for 8 months and C’s investment is 200,000 for 9 months.
In a way, A has 100,000 x 8 + 150,000 x 4 = 800,000 + 600,000 = 1,400,000 shares, B has 150,000 x 8 = 1,200,000 shares, and C has 200,000 x 9 = 1,800,000 shares.
Therefore, the total number of shares is 1,400,000 + 1,200,000 + 1,800,000 = 4,400,000. Since each share gets the same profit, we can create the equation:
4,400,000n = 165,000
4,400n = 165
n = 165/4,400 = 15/400
Since A has 1,400,000 shares and C has 1,800,000 shares, the difference is 400,000 shares, and therefore, the difference between their profits is 400,000 x 15/400 = 1,000 x 15 = 15,000.
Answer: C
