Alok and Kajal started a business by investing Rs. 'X'

Solution

Number of months for which Alok invested in the business = 20 + 4 = 24 months Let the profit share of Alok out of the total profit of Rs. 8200 = Rs. 'Y' Then, profit share of Kajal out of the total profit of Rs. 8200 = Rs. (Y + 1800) So, Y + Y + 1800 = 8200 Or, Y = (8200 - 1800) ÷ 2 = 3200 So, profit shares of Alok and Kajal are Rs. 3,200 and Rs. 5,000, respectively. So, respective ratio of profit shares of Alok and Kajal = (X × 24):{(X + 700) × 20} = 24X:(20X + 14000) = 3200:5000 = 16:25 So, 24X × 25 = (20X + 14000) × 16 Or, 600X = 320X + 224000 Or, X = 224000 ÷ 280 = 800