Salman and Vivek together invested Rs. 45,200 in a business. At the end of the year, out of a total profit of Rs. 16,000, Vivek's share was Rs. 6,400. What was the difference between their investments?

Correct option is C

Given:

Total investment = Rs. 45,200

Total profit = Rs. 16,000

Vivek's profit = Rs. 6,400

Salman's profit = 16,000 – 6,400 = Rs. 9,600

Concept Used:

Profit is divided in the ratio of investments

Solution:

Let Salman's investment = 3x

Vivek's investment = 2x

Then,

3x + 2x = 45200

5x = 45200

x = 9040

Salman's investment = 3x = 3 × 9040 = Rs. 27,120

Vivek's investment = 2x = 2 × 9040 = Rs. 18,080

Difference = 27120 – 18080 = Rs. 9,040

Alternate Solution:

Investment ratio = Profit ratio = 9600 : 6400 = 3 : 2

Total investment = 45200

Parts = 3 + 2 = 5 parts

1 part = 45200 ÷ 5 = 9040

Difference = 1 part = Rs. 9,040