Sangeeta and Hemlata invest in a business in the ratio 1 : 3. If total profit is Rs. 2568, then what is difference between the profit (in Rs.) of Sangeeta and Hemlata?

Correct option is B

Given:

Sangeeta and Hemlata invest in a business in the ratio 1 : 3.

Total profit is Rs. 2568

Formula used: 

The ratio of investment $$= \frac {Total \ profit}{Total \ part}$$​

Solution: 

Sangita = $$x$$ 

Hemlata = $$3x$$ 

Sangeeta and Hemlata total invest in a business  = $$4x$$ 

The ratio of investment = $$\frac{Total \ profit }{Total \ part} = \frac{2568}{4} = 642 \ Rs . Per Part$$ 

Sangeeta's profit

$$= 1 \times 642 = 642 Rs$$ 

Hemlata's profit  =

$$3 \times 642 = 1926Rs$$ 

The difference in profit between Hemlata and Sangeeta is:

$$1926 - 642 = 1284 Rs$$ 

The difference between the profit of Hemlata and Sangeeta is Rs. 1284.