Question

Deepak and Ayush entered into a partnership by investing rs x and x+5000.After 6 months deepak increased his investment by 2000 rs find the sum if their initial investment if at the end of the year ratio of profit share of deepak to ayush is 4:5.​

Answer 1

Answer: ₹35,000 is the sum of the initial investment by them.

Given: It is given that Deepak and Ayush entered had into a partnership business by investing ₹x and ₹x + 5000. When 6 months get completed, Deepak increased his investment by ₹2000. At the end of the year profit share of Deepak to Ayush is 4:5

To Find: We have to find the sum of their initial investment.

Step-by-Step Explanation: We calculate the ratio of profit between two partners in a partnership by $I_{1}\times T_{1}: I_{2}\times T_{2}$

where $I_{1}$ is the investment by first person

$I_{2}$ is the investment by second person

$T_{1}$ is the time period of the investment by first person

$T_{2}$ is the time period of the investment by second person

Step 1:

$x\times 6+(x+2000)\times 6:(x+5000)\times 12=4:5$

$\frac{6x+6x+12000}{12x+60000}=\frac{4}{5}$

$60x+60000=48x+60000\times4$

$12x=60000\times(4-1)$

$12x=60000\times3$

$x=15000$

Step 2 :

Sum of their initial investments = $x+x+5000=2x+5000$

                                                                          = $2\times15000+5000$

                                                                          = ₹35,000

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