In case there is no double entry system is followed, profit can be calculated by comparing the opening and closing capital. In the given situation this can be calculated as:
Opening Capital Rs.200000
Add: Capital Introduced Rs.200000
Add: Profit for the year Rs. 250000
Less: Loss for the year Rs.NIL
Less: Drawings Rs. 30000
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Capital at the end of the year Rs.620000
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Loan taken is a liability and loan given is asset, that will not affect the capital.
To write the form of the partial fraction decomposition of the rational expression:
We have:
2.
Using partial fraction decomposition to find the definite integral of:
By using the long division method; we have:
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So;
By using partial fraction decomposition:
x + 20 = A(x + 2) + B(x - 10)
x + 20 = (A + B)x + (2A - 10B)
Now; we have to relate like terms on both sides; we have:
A + B = 1 ; 2A - 10 B = 20
By solvong the expressions above; we have:
Now;
Thus;
Now; the integral is:
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