Three partners, Dev, Esha, and Farhan, launch a boutique cafe by contributing initial capital of $15,000, $25,000, and $40,000 respectively. If their business yields a total net profit of $96,000 at the end of the first year, how much profit will Esha receive based on their investment ratio?

The correct option is $30,000.

Step-by-step explanation:

Step 1: Determine the investment ratio of the partners.
Dev, Esha, and Farhan contributed initial capital of $15,000, $25,000, and $40,000 respectively.
The ratio of their investments is:

$\text{Ratio}=15000:25000:40000$

Dividing each value by 5,000 simplifies the ratio to its lowest terms:

$\text{Dev}:\text{Esha}:\text{Farhan}=3:5:8$

Step 2: Calculate total ratio parts.
Sum the individual ratio components to get the total parts:

$\text{Total Parts}=3+5+8=16$

Step 3: Calculate Esha's share of the net profit.
The total net profit at the end of the year is $96,000.
Esha's share corresponds to 5 out of 16 total parts of the profit:

$\text{Esha's Profit}=\left(\frac{5}{16}\right)\times \$96000$

Dividing $96,000 by 16 gives the value of one part:

$\frac{96000}{16}=6000$

Multiplying by Esha's 5 parts:

$\text{Esha's Profit}=5\times \$6000=\$30000$

Therefore, Esha will receive $30,000 based on their investment ratio.