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
