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Arun started a business investing Rs. 38000. After 5 months Bakul joined him with a capital of Rs. 55000. At the end of the year the total profit was Rs. 22000. What is the approximate difference between the share of profits Arun and Bakul ?
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& {\text{Arun}}:{\text{Bakul}} \cr
& = \left( {38000 \times 12} \right):\left( {55000 \times 7} \right) \cr
& = 456000:385000 \cr
& = 456:385 \cr
& \therefore {\text{Required difference}} \cr
& = {\text{Rs}}{\text{.}}\,\left[ {22000 \times \left( {\frac{{456}}{{841}} - \frac{{385}}{{841}}} \right)} \right] \cr
& = {\text{Rs}}{\text{.}}\left( {22000 \times \frac{{71}}{{841}}} \right) \cr
& = {\text{Rs. }}{\text{1857}}{\text{.31}} \cr
& = {\text{Rs. }}{\text{1857 }} \cr} $$
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