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 ?

A. Rs. 1007

B. Rs. 1192

C. Rs. 1568

D. Rs. 1857

E. Rs. 1928

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {\text{Arun}}:{\text{Bakul}} \cr & = \left( {38000 \times 12} \right):\left( {55000 \times 7} \right) \cr & = 456000:385000 \cr & = 456:385 \cr & \therefore {\text{Required difference}} \cr & = {\text{Rs}}{\text{.}}\,\left[ {22000 \times \left( {\frac{{456}}{{841}} - \frac{{385}}{{841}}} \right)} \right] \cr & = {\text{Rs}}{\text{.}}\left( {22000 \times \frac{{71}}{{841}}} \right) \cr & = {\text{Rs. }}{\text{1857}}{\text{.31}} \cr & = {\text{Rs. }}{\text{1857 }} \cr} $$