A and B started a business in partnership by investing in the ratio of 7 : 9. After 3 months A withdraw $$\frac{2}{3}$$ of its investment and after 4 months from the beginning B withdraw $$33\frac{1}{3}$$ % of its investment. If a total earned profit is Rs. 10201 at the end of 9 months, find the share of each in profit ?
A. Rs. 3535, Rs. 6666
B. Rs. 3055, Rs. 5555
C. Rs. 4503, Rs. 1345
D. Rs. 3545, Rs. 3333
Answer: Option A
Solution(By Examveda Team)
Note : In such type of question we can assume ratio as per our need to avoid fractionCapital → | A 7 × 3 |
: | B 9 × 3 |
New Ratio, → | A 21x |
: | B 27x |
Total capital invested by A in 9 months
$$\eqalign{ & = 21x \times 3 + 7x \times 6 \cr & = 105x \cr} $$
Total capital of B invested in 9 months
$$\eqalign{ & = 27x \times 4 + 18x \times 5 \cr & = 198x \cr} $$
$$\eqalign{ & {\text{According to the question,}} \cr & \left( {105x + 198x} \right) = {\text{Rs}}{\text{. 10201}} \cr & 303x = {\text{Rs}}{\text{. 10201}} \cr & x = \frac{{10201}}{{303}} \cr & {\text{Hence,}} \cr & {\text{Share of A}} = 105 \times \frac{{10201}}{{303}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,3535 \cr & {\text{Share of B}} = 198 \times \frac{{10201}}{{303}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,{\text{6666}} \cr} $$
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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