Trupti and Suhani invest in a business in the ratio 2 : 6. If total profit is Rs. 2480, then what is difference between the profit (in Rs.) of Trupti and Suhani?

Correct option is D

Given:

Investment ratio of Trupti and Suhani = 2 : 6, Total profit = Rs. 2480

Concept Used:

Profit sharing is done according to the investment ratio.

If the ratio is a : b, then the share of the first person is $$\frac{a}{(a+b)}$$​  Total Profit and the share of the second person is$$\frac{b}{(a+b)}$$​ Total Profit.

Difference = |Share of Suhani - Share of Trupti|

Solution:

Calculate the total ratio: 2 + 6 = 8

Calculate Trupti's profit share: $$\frac{2}{8} \times$$​ 2480 = Rs. 620

Calculate Suhani's profit share:$$\frac{ 6}{8} \times 2480$$​= Rs. 1860

Calculate the difference: 1860 - 620 = Rs. 1240

Alternate Method:

Simplify the ratio: The ratio 2 : 6 can be simplified to 1 : 3.

Calculate the total ratio: 1 + 3 = 4

Calculate the difference in ratio parts: 3 - 1 = 2

​​Calculate the fraction of the total profit representing the difference: $$\frac{2}{4} = \frac{1}{2}$$​

Calculate the difference in profit:$$\frac{1}{2} \times$$​ 2480 = Rs. 1240