Question

find the amount and the compound interest on rupees 750 lent at compound interest of 12% per annum for 1 year if the interest is payable half-yearly​

Answer 1

Answer:

842.7

Step-by-step explanation:

principal =750

rate =12% p. a.

time = 1 year

interest is payable half yearly

so, rate=12/2=6%

time = 1*2 =2

c.i = p(1+r/100)^2

=> 750(1+6/100)^2

=> 750(106/100)^2

=> 750*106/100*106/100

=> 8427000/10000

=> 842.7

Answer 2

Answer:

P= 750, R= 12% p.a., n=1 yr

When interest has compounded half yearly :-

$a = (1 + \frac{r}{200} )^{2n} \\ 750(1 + \frac{12}{200} ) ^{2 \times 1} \\ 750( \frac{53}{50})^{2} \\ 750 \times \frac{53}{50} \times \frac{53}{50} = \frac{8427}{10}$

= 842.70 rs.

C.I. = 842.70-750.00 = 92.70 rs.