Commercial Mathematics
Find the amount and the compound interest on ₹ 2500 for 2 years at 10% per annum, compounded annually.
Anand obtained a loan of $$₹\ 125000$$ from the Allahabad bank for buying computers. The bank charges compound interest at $$8 \%$$ per annum, compounded annually. What amount will he have to pay after $$3$$ years to clear the debt?
Given:
Present value $$= ₹\ 125000$$
Interest rate $$= 8 \%$$ per annum
Time $$= 3$$ years
To find the amount we have the formula,
Amount $$A = P (1+(\dfrac{1}{100}))^n$$
where $$P$$ is the present value, $$r$$ is the rate of interest, $$n$$ is time in years.
Now substituting the values in above formula we get,
$$\therefore A = 125000 (1 +\dfrac{8}{100})^3$$
$$ A = 125000(108/100)^3$$
$$ A = 125000 × \dfrac{1259712}{1000} $$
$$=\dfrac{1259712}{8}$$
$$\Rightarrow A = ₹\ 157464$$
So, Anand has to pay $$₹\ 157464$$
Find the amount and the compound interest on ₹ 2500 for 2 years at 10% per annum, compounded annually.
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Find the amount and compound interest on $$₹\ 62500$$ for $$2$$ years $$6$$ months at $$12 \%$$ per annum compounded annually.
Find the amount and compound interest on $$₹\ 9000$$ for $$2$$ years $$4$$ months at $$10 \%$$ per annum compounded annually.
Find the amount of $$₹\ 8000$$ for $$2$$ years compounded annually and the rates being $$9 \%$$ per annum during the first year and $$10 \%$$ per annum during the second year.
Three years ago, Beeru purchased a buffalo from Surjeet for $$₹\ 11000$$. What payment will discharge his debt now, the rate of interest being $$10 \%$$ per annum, compounded annually?
Abhay borrowed $$₹\ 16000$$ at $$7 \dfrac{1}{2} \%$$ per annum simple interest. On the same day, he lent it to gurmeet at the same rate but compounded annually. What does he gain at the end of $$2$$ years?
The compound interest on $$₹\ 10000$$ at $$12 \%$$ per annum for $$1\dfrac{1}{2}$$ years, compounded annually, is
A person invests 10000 for two years at a certain rate of interest, compounded annually. At the end of one year this sum amounts to 11200. Calculate: (i) the rate of interest per annum. (ii) the amount at the end of second year.