5. A employs Rs. 70000 in a business but he transfers Rs. 22000 to B after 2 months
and 3 months later, Rs. 8000 to Cout of his capital. B and C employ the amounts
in the business. 7 months after the starting of the business there was a profit of
Rs. 19600. Find the share of profit of each (Profit was divided in the proportion
of effective capital).
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Step-by-step explanation:
Principal P=Rs.4,000.
Since the interest is compounded half-yearly the number of conversion periods in 11/2 years are 3.
Also the rate of interest per conversion period (6 months) is
10%×21=5%(0.05 in decimal).
Thus
the amount An(in Rs.) is given by
An=P(1+i)n
A3=4,000(1+0.05)3
=4,630.50
Therefore
The compound interest is =Rs. (4,630.50−4,000)
=Rs.630.50.
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