Juhi Julie and Jimmy are partners of a firm whose total capital is 400...
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Juhi Julie and Jimmy are partners of a firm whose total capital is 400...
Solution:
Given, Total capital of the firm = Rs. 400000
Let the capital of Juhi, Julie and Jimmy be 4x, 3x and 2x respectively.
Given, Capital ratio of Juhi, Julie and Jimmy = 4:3:2
Therefore, 4x + 3x + 2x = 400000
⇒ 9x = 400000
⇒ x = 400000/9
⇒ x = 44444.44
So, the capital of Juhi, Julie and Jimmy are 4x, 3x and 2x respectively.
Therefore, Juhi's capital = 4x = 4 × 44444.44 = Rs. 177777.76
The firm pays an interest of 6% on the capital.
Hence, the interest received by Jimmy = 2x + 6% of 2x
= 2x + 0.06 × 2x
= 2x(1 + 0.06)
= 2x(1.06)
= 2 × 44444.44 × 1.06
= Rs. 94444.44
Now, we have to find the amount received by Juhi inclusive of interest on capital.
Let the interest received by Juhi be I.
Then, the interest received by Julie = 3x + 6% of 3x + I
= 3x + 0.06 × 3x + I
= 3x(1 + 0.06) + I
= 3 × 44444.44 × 1.06 + I
= Rs. 142222.24 + I
The total interest paid by the firm = Interest received by Jimmy + Interest received by Juhi + Interest received by Julie
= Rs. 124800 + Rs. 94444.44 + Rs. 142222.24 + I
= Rs. 361466.68 + I
As the total interest paid by the firm is 6% of the total capital,
6% of 400000 = Rs. 24000
So, 361466.68 + I = Rs. 24000
I = Rs. 216533.68
Therefore, the amount received by Juhi inclusive of interest on capital = 4x + 6% of 4x + I
= 4x + 0.06 × 4x + I
= 4x(1 + 0.06) + I
= 4 × 44444.44 × 1.06 + I
= Rs. 177777.76 + Rs. 11222.22 + Rs. 216533.68
= Rs. 405533.66
Hence, the amount to be received by partner Juhi inclusive of interest on capital is Rs. 405533.66.
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