Question

Komal and Harish etered into a partnership with investment of Rs.70000 and Rs.55000 respectively after certain number of months Girish joined them with investment of Rs.60000. At the end of one year they earned a profit of Rs.297000. If share of Girish in the profit is Rs.72000. Period of investment of Harish is what percent more than the period of investment of Girish?

• A. 45%
• B. 35%
• C. 40%
• D. 50%

Answer 1

Answer: (D)

50%

Answer 2

The correct option is (D): 50%.
Let Girish invested for t number of months.
Ratio of shares of Komal, Harish and Girish in the profit:
Komal : Harish : Girish = 70000 x 12 : 55000 x 12 : 60000 x t
= 168 : 132 : 12t
According to the question
$\frac{12t}{(168 + 132 + 12t) }$x 297000 = 72000
=> $\frac{12t}{(300 + 12t)}$x 33 = 8
=> 396t = 2400 + 96t
=> 300t = 2400
=> t = 8
Required percentage =$\frac{(12 - 8)}{8}$ x 100
= $\frac{4}{8}$ x 100
= 50%.