What will be the amount when 10000 is deposited in a bank at 10% per annum?

Hint: Initially find the interest of the first year by using the given data. And by using the interest we can also find the amount that has been deposited in the 15th year and this helps to calculate the amount after 20 years.

Complete step by step answer:
Here from the data it is given that a man deposited Rs.10000 in a bank with an interest rate of 5% simple interest annually.
So, it is known that in simple interest, the interest remains the same in all years.
This means if we find interest in the first year then the interest will be the same for all years.
Now let us find interest for first year
$I = PTR$
Here I is the interest, P= Rs.10000, R=5% and t=1(for one year)
$\begin{gathered}
   \Rightarrow I = 10000 \times 5\% \times 1 \\
   \Rightarrow I = 10000 \times \dfrac{5}{{100}} \\
   \Rightarrow I = 500 \\
\end{gathered} $
So interest of first year =Rs.500
Therefore interest for all years is also Rs.500 as it is simple interest used by the person.
Hence,
Amount in 1st year=Rs.10000
Amount in 2nd year = Amount in 1st year +Interest = Rs.10000 + Rs.500 =Rs.10500
Amount in 3rd year = Amount in 2nd year + Interest = Rs10500 + Rs.500 =Rs.11000
Hence our series is
          Rs.10000, Rs.10500, Rs.11000 …
If we observe the series it is of AP
Where a=10000 and d=500 (interest is 500 which is common for all years)
Or else d=a2-a1 which implies d=10500-10000=500
There d=500
Now here we need to find amount in 15th year, as the series are in AP let us use nth term of AP where n=15
So, nth term of AP
$ \Rightarrow {a_n} = a + (n - 1)d$
Amount in 15th year = $a + (n - 1)d$
                                   =10000 + (15-1)500
                                  =10000+14(500)
                                =17000
Therefore amount in 15th year is Rs.17000
And also here we need to find amount after 20 year
 i.e. we need to calculate ${a_n}$ value where n=21
Amount after 20 year = ${a_n}$
                                      = $a + (n - 1)d$
                                      =10000 + (20-1)500
                                       =10000+19(500)
                                      =20,000
Therefore amount after 20 years is Rs. 20,000.

Note: As the person has taken simple interest, so for every year the interest will be the same .So find interest for 1st year which will be the same for all other years. Later adding interest to the previous year amount we get the present year amount. As interest is common the amount will be in AP series. Make a note that the series is of AP so we have used the nth term of AP formula to find amount for 15th year and amount after 20 years.

ADVANCES FEE

7.1.1 New Facility

Up to Rs 250,000/-

Rs 2,000/-

Rs 250,001/- to Rs 500,000/-

Rs 3,000/-

Rs 500,001/- to Rs 1,000,000/-

Rs 5,000/-

Rs 1,000,001/- to Rs 5,000,000/-

Rs 7,500/-

Rs 5,000,001/- to Rs 10,000,000/-

Rs 10,000/-

Rs 10,000,001/- to Rs 25,000,000/-

Rs 15,000/-

Rs 25,000,001/- to Rs 50,000,000/-

Rs 20,000/-

Rs 50,000,001/- to Rs 100,000,000/-

Rs 30,000/-

Rs 100,000,001/- to Rs 500,000,000/- 0.04% Of The Facility

Rs 500,000,001/- to Rs 1,000,000,000/-

0.05% Of The Facility

Over Rs 1.0 Bn

Contact Nearest Branch

Home Loans

As Above

Personal Loans Setting Up Charges

Up To Rs 500,000/-

Rs 2,500/-

Rs 500,001/- to Rs 1,000,000/-

Rs 5,000/-

Rs 1,000,001/- to Rs 3,000,000/-

Rs 10,000/-

Rs 3,000,001/- to Rs 5,000,000/-

Rs 15,000/-

Over Rs 5,000,000/-

Rs 25,000/-

Personal Loans Top-up Charges

Up To Rs 1,000,000/- Rs 2,500/- Rs 1,000,001/- to Rs 3,000,000/- Rs 3,750/- Rs 3,000,001/- to Rs 5,000,000/- Rs 5,000/- Over Rs 5,000,000/- Rs 10,000/- Short Term Cultivation Loans Under NCRCS Loans Up To Rs 200,000/- Rs 2,000/- Loans Above Rs 200,000/- To Rs 500,000/- 1.00% Of The Facility Note : Additional Rs 300/- Will Be Charged As CRIB Charges Microfinance Loans Under All Products Loans Up To Rs 250,000/- Rs 2,000/- Loans Above Rs 250,001 To Rs 500,000/- Rs 3,000/-

7.1.2 Renewal Of Facility

Up to Rs 250,000/-

Rs 750/-

Rs 250,001/- to Rs 500,000/-

Rs 1,000/-

Rs 500,001/- to Rs 1,000,000/-

Rs 2,000/-

Rs 1,000,001/- to Rs 5,000,000/-

Rs 3,000/-

Rs 5,000,001/- to Rs 10,000,000/-

Rs 5,000/-

Rs 10,000,001/- to Rs 25,000,000/-

Rs 7,500/-

Rs 25,000,001/- to Rs 50,000,000/-

Rs 10,000/-

Rs 50,000,001- to Rs 100,000,000/-

Rs 20,000/-

Rs 100,000,001/- to Rs 500,000,000/- Rs 35,000/- Rs 500,000,001/- to Rs 1,000,000,000/- Rs 50,000/- Rs 1,000,000,001/- to Rs 2,000,000,000/- Rs 75,000/- Rs 2,000,000,001/- to Rs 3,000,000,000/- Rs 100,000/- Over Rs.3.0 Bn Rs 125,000/-

Loans Where There Are No Changes

No Fees

Loans Where The Change Is Only The Rate Of Interest

No Fees

Note:
When a facility is renewed with additions, the following criteria will be followed
a) For the quantum of additional facilities, charges as per 7.1.1 will be applied. Indirect facilities will be treated as noted therein.
b) For the renewal of existing facilities charges as per 7.1.2 will be applied

7.1.3 Facilities Secured By Cash

New Facility

Up to Rs 500,000/-

Rs 1,000/- Above Rs 500,000/- Rs 2,000/-

Renewal Of Facilities

Up to Rs 500,000/-

Rs 500/-

Above Rs 500,000/-

Rs 1,000/-

7.1.4 Leasing

New Facility (Per Facility) Up to Rs 500,000/- Rs 2,500/- Rs 500,001 - Rs 1,000,000/- Rs 3,500/- Rs 1,000,001 - Rs 2,500,000/- Rs 5,000/- Rs 2,500,001 - Rs 5,000,000/- Rs 6,000/- Rs 5,000,001 - Rs 10,000,000/- Rs 7,500/- Above Rs 10,000,000/- Rs 10,000/- For Registered Vehicles - Additional Rs 1,500/-

7.1.5 Hire Purchase

New Facility (Per Facility)

Up to Rs.500,000/- Rs 2,500/- Rs 500,001/- to Rs 2,500,000/- Rs 3,500/- Over Rs 2,500,000/- Rs 5,000/- 7.1.6 Temporary Facility Up to Rs 100,000/- Rs 1,000/- Rs 101,000/- to Rs 250,000/- Rs 2,000/- Rs 250,001/- to Rs 500,000/- Rs 3,000/- Rs 500,001/- to Rs 1,000,000/- Rs 5,000/- Rs 1,000,001/- to Rs 5,000,000/- Rs 10,000/- Rs 5,000,001/- to Rs 10,000,000/- Rs 15,000/- Rs 10,000,001/- to Rs 50,000,000/- Rs 20,000/- Rs 50,000,001/- to Rs 100,000,000/- Rs 30,000/- Rs 100,000,001/- to Rs 500,000,000/- 0.04% of Facility Over Rs 500.00 Mn 0.05% of Facility 7.1.7 Investment Banking Prepayment Charges Considering a Tenure Of 8 Years 1 Year 3.00% - 5 Year 1.00%  2 Year 2.50% - 6 Year 0.75% 3 Year 2.00% - 7 Year 0.50% 4 Year 1.50% - 8 Year 0.25% Commitment Fees 1% Of The Amount Not Drawn Down After A Specific Time (Set According To A Expected Draw Down Schedule) Cancellation Fees 0.75% Of The Amount Cancelled

7.2 Off-Shore Banking Centre

7.2.1 New Facility

Will Be Applicable For Permanent As Well As Temporary Facilities

Up to USD 100,000/-

USD 150/-

USD 100,001/- to USD 500,000/-

USD 250/-

USD 500,001/- to USD 1,000,000/-

USD 400/-

USD 1,000,001/- to USD 1,500,000/-

USD 500/-

USD 1,500,001 to USD 3,500,000/-

0.04% Of The Facility, Rounded Off To The Next 10 Dollars

Over USD 3,500,000/-

Contact Nearest Branch / Off-Shore Banking Department

7.2.2. Renewal Of A Facility

Will Be Applicable For Permanent As Well As Temporary Facilities

Up to USD 500,000/-

USD 100/

USD 500,001/- to USD 1,000,000/-

USD 200/-

USD 1,000,001 to USD 2,000,000/-

USD 300/-

USD 2,000,001 to USD 4,000,000/-

USD 400/-

USD 4,000,001 to USD 10,000,000/-

USD 500/-

Over USD 10,000,000/- USD 1,000/- Loans Where There Are No Changes No Fees Loans Where The Change Is Only The Rate Of Interest No Fees Note:
When a facility is renewed with additions, the following criteria will be followed
a) For the quantum of additional facilities, charges as per 7.2.1 will be applied
b) For the renewal of existing facilities charges as per 7.2.2 will be applied

7.2.3 Facility Secured By Cash

New Facilities

USD 100/-

Renewal of A Facility

USD 50/-

What will be the amount when 10000 is deposited in a bank at 10% per annum compounded annually for 3 years?

What will be the amount when 10000 is deposited in a bank at 10% per annum compounded annually for 2 years?

What is compound interest on rupees 10000 at the rate 10% for 5 years?

What will be the amount of compound interest on Rs 10000 10% for 2 years?