Maran and Balram started a business by investing Rs. ‘x’ and Rs. (400 + x), respectively. After 6 months, Maran

Maran and Balram started a business by investing Rs. ‘x’ and Rs. (400 + x), respectively. After 6 months, Maran doubled his investment, while Balram withdrew Rs.400 from his investment. If at the end of the year, Maran’s profit share is Rs.18000 out of the total profit of Rs.34000, then find the value of ‘x’.

a) 450

b) 720

c) 540

d) 480

e) 600

Sol:

Ratio of profit share of Maran and Balram

respectively = [(x × 6) + (2x × 6)]: [(400 + x) × 6

+ (x × 6)]

= 18x:(2400 + 12x) = 3x:(400 + 2x)

Then, [3x/(400 + 2x + 3x)] = (18000/34000)

17x = 3 × (400 + 5x)

17x = 1200 + 15x

2x = 1200

x = 600