Bhavna and Bhumi invest in a business in the ratio 2 : 10. If total profit is Rs. 1140, then what is difference between the profit(in Rs.) of Bhavna and Bhumi?

Correct option is B

Given:
Investment ratio of Bhavna and Bhumi = 2 : 10
Total profit = Rs. 1140
Concept Used:
The profit is divided in the same ratio as the investment. To find the difference in their profits, we first calculate the individual profits based on their investment ratio.

Solution:
Let the investment of Bhavna be 2x and Bhumi be 10x .

Total ratio parts = 2x + 10x = 12x.
Bhavna's share of the profit:
$$\text{Bhavna's profit} = \left( \frac{2x}{12x} \right) \times 1140 = \left( \frac{2}{12} \right) \times 1140 = \frac{1}{6} \times 1140 = 190$$​​
$$\text{Bhumi's profit} = \left( \frac{10x}{12x} \right) \times 1140 = \left( \frac{10}{12} \right) \times 1140 = \frac{5}{6} \times 1140 = 950$$​​
$$\text{Difference} = 950 - 190 = 760$$

Thus, option (b) is right.