Question

sophia took a loan of Rs.80000from a bank. If the rate of interest is 10% per a nnum,find the difference in amounts she would be paying after 1.5 years if the intrest is. i)compound annually ii)compounded half yearly​

Answer 1

Answer:

The difference between the two amounts = Rs.92610−Rs.92400 =Rs.210

Step-by-step explanation:

1) Compounded Annually :

P=Rs.80000

R=10% p.a.

T= 1.5  years ⟹n=1+0.5

​Amount for 1st year.

A=P[1+ R/100]^n = Rs.80000[1+  10/100]=Rs.88000

SI on Rs. 88000 for next 1/2 year  

=Rs.88000× 10/100×1/2 = Rs.4400

Therefore, Amount = Rs.88000+Rs.4400 = 92400Rs.

2) Compounded half yearly :

P=Rs.80000

R=10% p.a.= 5% per half year

T= 1.5 years ⟹n = 3

A=Rs.80000[1+  5/100]^3

A=Rs.92610

Thus, the difference between the two amounts = Rs.92610−Rs.92400 =Rs.210