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?
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?
Updated On: Sep 10, 2024
- 45%
- 35%
- 40%
- 50%
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The Correct Option is D
Solution and Explanation
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%.
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%.
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