Question

what amount is to be repaid on a loan of 12000 rs for 1(1/2) year at 10% per annum if interested is compounded half yearly.​

Answer 1

Answer:

given,

principal=₹12000

here ,the rate is recommended half yearly

rate of interest=1 1/2 years

=3/2×2half years =3

amount=P(1+R/100 ) n

= 12000(1+5/100)3

=12000=1+(1/20)3

=12000(21/20)3

=12000× 21/20× 21/20× 21×20

12= 21/20× 21/20 × 21×20

=3×21×21× 21\2 =

63×441 /2

=27783/2

=13891.5

Answer 2

As interest is compounded half yearly, so number of conversion periods in 121 years is 3, So n=3

rate for half year =21×10%=5%

A=P(1+100R)n

A=12000(1+1005)3

=12000(100105)3

=Rs.13891.50

Compound interest =A−P

=13891.50−12000

=Rs.1891.50

heyaa nasreen sista

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