Question

Two friends invested Rs. $1500$ and Rs. $2500$ in a business. They earned a profit of Rs. $800.$ One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much profit did each of them receive?

• A. Rs. $350$ and Rs. $450$
• B. Rs. $360$ and Rs. $440$
• C. Rs. $250$ and Rs. $550$
• D. Rs. $375$ and Rs. $425$

Answer 1

The correct option is A Rs. $350$ and Rs. $450$

Ratio of capitals $=1500:2500=3:5$
Share of profit of first friend
$=$ Rs. $[\frac{400}{2}+(400\times \frac{3}{8})]$
$=$ Rs. $(200+150)$
$=$ Rs. $350$

Share of profit of second friend
$=$ Rs.$[\frac{400}{2}+(400\times \frac{5}{8})]$
$=$ Rs. $(200+250)$
$=$ Rs. $450$