Q1 of 14 Page 93

Arun deposited 5000 rupees in a bank which compounds interest half yearly and Mohan deposited the same amount in another bank which compounds interest quarterly. The annual rate of interest is 6% at both the banks. How much more would Mohan get after one year?

Investment = 5000 Rs

Arun deposited 5000 Rs in a bank which compound interest half yearly.


Annual rate = 6%


Since Interest is compounded half yearly, Interest has to be calculated twice a year


Half yearly rate = 6/2=3%


We need to figure out the period in which interest compounded.


Amount after a year= 5000(1+3/100)2


= 5304.5 5305(.5paisa rounded to 1Rupee)


Mohan deposited 5000Rs in another bank which compounds interest quarterly.


Annual rate = 6%


Since Interest is compounded quarterly yearly, Interest has to be calculated four times a year.


Quarterly rate = 6/4 =1.5%


Amount after a year= 5000(1+1.5/100)4


= 5306.81 5307(.81rounded to 1rupee)


The more amount Mohan would get = 5307-5305 = 2 Rs


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