Suresh and Naresh started a business by investing Rs.

Solution

Number of months for which Suresh invested in the business = 10 + 10 = 20 months Let the profit share of Suresh out of the total profit of Rs. 6000 = Rs. ‘Y’ Then, profit share of Naresh out of the total profit of Rs. 6000 = Rs. (Y + 1200) So, Y + Y + 1200 = 6000 Or, Y = (6000 − 1200) ÷ 2 = 2400 So, profit shares of Suresh and Naresh are Rs. 2,400 and Rs. 3,600, respectively. So, respective ratio of profit shares of Suresh and Naresh = (X × 20) : {(X + 400) × 10} = 20X : (10X + 4000) = 2400 : 3600 = 2 : 3 So, 20X × 3 = (10X + 4000) × 2 Or, 60X = 20X + 8000 Or, X = 8000 ÷ 40 = 200 Hence, X = 200