Question

a a 5. Anuj took a loan of 50,000 from a bank. If the rate of interest is 10% p.a., find the amount he would be repaying after 1 1/2 years, if the interest is:
. a. compounded annually. b. compounded half-yearly. friend or 12% F her​

Answer 1

Answer:

A=P[1+ R/100]^n

Substituting the above-given values in the formula

=> A=50000[1+ 10/100 ]^ 1 1/2

=> A=50 000[1+ 10 /100 ][1+ 10 /2/ 100]

=> A=50000^ * 11 10 * 21 20

=>A=Rs 57750

Thus, the amount Anuj is repaid when the interest is compounded annually is Rs. 57750.

Case (b): Interest is compounded half yearly.

Here

R=10/2=5%

Time=2n=2 * (3/2)=3 years

Now,

A=P[1+ R/ 100]2n

Substituting the above-given values in the formula

=> A=50000[ [1 + 5/100] ^ 3

=> A=50000 * [ 21 20 ]^ 3

=>A= 50000*21*21*21/20*20

=> A=Rs . 57881.25.

Thus, the amount Anuj is repaid when the interest is compounded half-yearly is Rs.57881.25.

Answer 2

Answer:

The amount Anuj would be repaid, after 1 1/2years, if the interest on Rs. 50000 is compounded annually is Rs. 57750 and compounded half-yearly is Rs. 57881.25 .

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