Yamini and Zareen together invested ₹37200 in a business. At the end of the year, out of a total profit of ₹5000, Yamini's share was ₹1300. What was the investment of Zareen?

Correct option is C

Given:

Total investment = ₹37200

Total profit = ₹5000

Yamini's profit share = ₹1300

Concept Used:

Profit sharing is proportional to the investment made.

Solution:

Zareen's profit share: Total profit - Yamini's profit = ₹5000 - ₹1300 = ₹3700

​$$\frac{\text{Yamini's profit}}{\text{Total profit}} = \frac{1300}{5000} = \frac{13}{50}$$​​

​$$\frac{\text{Zareen's profit}}{\text{Total profit}} = \frac{3700}{5000} = \frac{37}{50}$$​​

Since,  profit sharing is proportional to investment, the ratio of their profits is the same as the ratio of their investments. 

Yamini's Investment = $$\frac{13}{50} \times$$​ ₹37200 = ₹9672

Zareen's Investment = $$\frac{37}{50}\times$$​ ₹37200 = ₹27528