Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

Find the amount and the compound interest on Rs 10,000 for 11/2 years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?


Principal = Rs 10,000

Time = 1

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

Rate = 10% p.a.

Case I.  Interest on compounded half yearly

           We have     r =10 p.a. = 5% per half yearly

                           T =

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

∴                        

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

                                                              = Rs

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

                               = Rs 10000

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly
=  Rs
Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

                                                           = Rs

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly
= Rs
Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly
= Rs 11576.25

∴           Amount = Rs 11576.25

Now           CI = Amount - Principal

                     = Rs 11576.25 - Rs 10,000 = Rs 1576.25

Case II,   Interest on compounded annually

              We have            R = 10% p.a.

                                      T =

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

          Amount for 1 year = 

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly
  = Rs 10000
Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

                                                                   = Rs

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

                                  = Rs 11000

          

∴  Interest for 1st year = Rs 11000 - Rs 10,000 = Rs 1000

                        Interest for next

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly
year on Rs 11000 =
Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

                                                               =

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

                                                               = Rs 55

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly
10 = Rs 550

∴                                 Total interest = Rs 1000 + Rs 550
                                                    = Rs 1550
 Since Rs 1576.25> Rs 1550

∴ Interest would be more in case of it is compounded half yearly.

991 Views


Kamala borrowed Rs 26,400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?

(Hint: Find A for 2 years with interest is compounded yearly and then find SI an the 2nd year for 4/12 tears.)


Here, we shall calculate the amount for 2 years using the CI formula. Then this amount will become the principal for next 4 months, i.e. 4/12 years.

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

119 Views


Calculate the amount and compound interest on:

(a) Rs 10,800 for 3 years at 121/2 % per annum compounded annually.

(b) Rs 18,000 for 21/2 years at 10% per annum compounded annually.

(c) Rs 62,500 for 11/2 years at 8% per annum compounded half yearly

(d) Rs 8,000 for 1 year at 9% per annum compounded half yearly.

(You could use the year by year calculation using SI formula to verify.)

(e) Rs 10,000 for 1 year at 8% per annum compounded half yearly.

1355 Views


Find the buying price of each of the following when 5% ST is added on the purchase of

(a) A towel at Rs 50

(b) Two bars of soap at Rs 35 each

(c) 5 kg of flour at Rs 15 per kg


Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

925 Views


A shopkeeper bought two TV sets at Rs 10,000 each. He sold one at a profit 10% and the other at a loss of 10%. Find whether he made an overall profit or loss.


Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

1238 Views


A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss.(Hint: Find CP of each.)


Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

Find the amount and compound interest on ₹ 100000 for 112years at 10% compounded half yearly

192 Views


What is the compound interest on Rs 10000 at 10% for 2 years?

Compound Interest would be 12100rs.

What is the compound interest on rupees 10000 at 10% for 3 years?

∴ Compound interest = ₹13860 – ₹10000 = ₹3860.

What does 10% compounded annually mean?

For example, say you have $100 in a savings account, and it earns interest at a 10% rate, compounded annually. At the end of the first year, you'd have $110 ($100 in principal + $10 in interest).

What is the compound interest on rupees 20000 at 10% for 2 years?

Where P is principal, R is rate of interest and T is time. ∴ The compound interest for 2 years is Rs. 2464.