Question

Mukesh borrowed $75000 from a bank. If the rate of interest is 12% p.a, find the amount he would be paying after 1 1/2 years if the interest is-
i). Compounded Annually
ii). Compounded Half-Yearly

Please explain how you got Compounded Annually and Compounded Half-Yearly.​

Answer 1

Answer:

here your answer

Step-by-step explanation:

P=75000

R=12%

T=

2

3

years

when compounded annually,

A=P(1+

100

R

)

T

75000(1+

100

12

)

2

3

=Rs.88897.2

when compounded half yearly,

A=P(1+

200

R

)

2T

75000(1+

200

12

)

2×

2

3

Rs.=89326.2

Answer 2

Answer:

$\large \green{ \underline{Given:-}}$

$P=75000$

$R=12 \: %$

$T = \frac{3}{2} \: years$

$\large{ \underline{ \red{Solution:-}}}$

$\underline{when \: compounded \: annually,}$

$A = P {(1 + \frac{R}{100} )}^{}T$

$= 7500 {(1 + \frac{12}{100} )}^{ \frac{3}{2} }$

$= 88897.2$

$\blue\leadsto{Rs.88897.2}$

$\underline{when \: compounded \: half \: yearly,}$

$A =P {(1 + \frac{ R}{200} )}^{2T}$

$= 75000 {(1 + \frac{12}{200} )}^{2 \times \frac{3}{2} }$

$= 89326.2$

$\blue\leadsto{Rs.=89326.2}$