Question

calculate the amount and compound interest on 62500for 1×1/2years at8% per annum compounded half yearly​

Answer 1

Step-by-step explanation:

given ,

principal (p) = 62500

Rate (r) = 8 percent per annum compounded half yearly

= 8 by 2 % per half year

= 4 % per half year

Time (n)= 1 whole 1 by 2 = 3 by 2 years

= 3 by 2 ×2 half years

= 3 half years

Now , Amount (A) = p ( 1 + R by 100 ) to the power n

=62500 (1+4/100) to the power 3

= 62500 × (100 +4 /100) to the power 3

= 62500 × 104 to the power 3/ 100 ×100×100

= 625 × 104 to the power 3 /100×100

= 25 ×104 to the power 3 /4×100

=104 to the power 3 / 4×4

= 56 ×104×104/1×4

=26 ×104×104 /1×4

=13 × 104 ×104 /1×2

=13×52×104

=676 × 104

=70304

now,

amount =p+interest

70304 =62500 +

int

70304 -62500 = int

7804 = interest

so,amount = rs 70,304

interest = rs 7,804