Sanjana, Kartik and Deepa invested ₹1,050, ₹1,320 and ₹1,730, respectively to start a business. If the profit at the end of the year is ₹1,230, what is Deepa's share of the profit?

Correct Answer: The correct option is ₹519.

Step-by-step Explanation:

Step 1: Understand the Ratio of Investments

In a business partnership, profits are shared among partners in the ratio of their respective investments over a given time period.

Given investments:

• Sanjana's investment = ₹1,050

• Kartik's investment = ₹1,320

• Deepa's investment = ₹1,730

The ratio of their investments is:

$\text{Ratio}=1050:1320:1730$

Simplifying the ratio by dividing each term by 10:

$\text{Ratio}=105:132:173$

Step 2: Calculate the Total Ratio Units

Sum of the ratio terms:

$\text{Total ratio units}=105+132+173=410$

Step 3: Calculate Deepa's Share of Profit

Total profit at the end of the year = ₹1,230

Deepa's share of profit is calculated as:

$\text{Deepa's Share}=\left(\frac{173}{410}\right)\times 1230$

Dividing 1,230 by 410 gives 3:

$\text{Deepa's Share}=173\times 3=519$

Therefore, Deepa's share of the profit is ₹519.