Suresh and Naresh started a business by investing Rs. ‘X’ and Rs. (X + 400), respectively. 10 months later, Naresh withdrew his entire investment. At the end of 20 months, the total profit from the business was Rs. 6,000, out of which profit share of Naresh was Rs. 1,200 more than that of Suresh. Find the value of ‘X’.

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