A started a business with the capital of Rs. 500. After 2 months B joined A with Rs. 400. 6 months after the business started C joined with Rs. 800. If the total profit earned at the end of the year is Rs. 444 find the share of their profit ?
A. Rs. 180, Rs. 120, Rs. 144
B. Rs. 150, Rs. 130, Rs. 123
C. Rs. 160, Rs. 141, Rs. 125
D. Rs. 141, Rs. 110, Rs. 140
Answer: Option A
Solution(By Examveda Team)
A | : | B | : | C | |
Capital | 500 | : | 400 | : | 800 |
× | : | × | : | × | |
Time | 12 | : | 10 | : | 6 |
Profit | 6000 | : | 4000 | 4800 | |
15 | : | 10 | : | 12 |
$$\eqalign{ & {\text{According to the question,}} \cr & \left( {15 + 10 + 12} \right){\text{units}} = {\text{Rs}}{\text{.}}\,{\text{444}} \cr & {\text{37 units}} = {\text{Rs}}{\text{. 444}} \cr & 1{\text{ unit}} = \frac{{444}}{{37}}{\text{ = Rs}}{\text{. 12}} \cr & {\text{Profit of A}} = 12 \times 15 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,{\text{180}} \cr & {\text{Profit of B}} = 12 \times 10 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,{\text{120}} \cr & {\text{Profit of C}} = 12 \times 12 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,{\text{144}} \cr} $$
Related Questions on Partnership
A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these
A. Rs. 40000
B. Rs. 50000
C. Rs. 60000
D. Rs. 70000
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