Question

the compound interest on a sum of rupees 1000 is 2 years compounded annually is rupees 440. Find (a) the amount (b) the rate of interest​

Answer 1

Answer:

Here, Principal P = Rs. 1000

R =10% per annum and n=2 years

∴ Amount after 2 years = P (1+

200

R

)

2n

= Rs. 1000×(1+

200

10

)

2×2

=Rs.1000×(1+

20

1

)

4

=Rs.1000×(

20

21

)

4

= Rs.1000×

20

21

×

20

21

×

20

21

×

20

21

=Rs.1215.50

Hence, compound interest = Amount - Principal

=Rs.1215.50−Rs.1000=Rs.215.50