Commercial Mathematics
Find the amount and the compound interest on ₹ 2500 for 2 years at 10% per annum, compounded annually.
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?
Given:
Present value $$= ₹\ 11000$$
Interest rate $$= 10\%$$ per annum
Time $$=3$$ years
To find the amount we have the formula,
Amount $$(A) = P (1+(r/100))^n$$
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,
$$\therefore A = 11000 (1 +10/100)^3$$
$$\Rightarrow A = 11000 (11/10)^3$$
$$\Rightarrow A = 11000 (1331/1000)$$
$$\Rightarrow A = 11 (1331)$$
$$\Rightarrow A = ₹\ 14641$$
∴ Beeru has to pay $$₹\ 14641$$
Find the amount and the compound interest on ₹ 2500 for 2 years at 10% per annum, compounded annually.
Find the amount and compound interest on $$₹ 6000$$ for $$2$$ years at $$9\%$$ per annum compounded annually.
Find the amount and compound interest on $$\text{Rs }10240$$ for $$3$$ years at $$12\dfrac{1}{2} \%$$ per annum compounded annually.
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.
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?
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.