Question

Compound interest on a certain sum for 1 year at 14% per annum compounded half yearly is Rs.289.8. the simple
interest at the same rate of interest for one year would be​

Answer 1

Answer:

Sum (p)=Rs.289.8

Rate of interest =14% per annum

Rate of interest =14% per annumTime =1 year

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R=

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 2

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%n=2

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%n=2Therefore,

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%n=2Therefore,A=P(1+

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%n=2Therefore,A=P(1+ 100

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%n=2Therefore,A=P(1+ 100R

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%n=2Therefore,A=P(1+ 100R

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%n=2Therefore,A=P(1+ 100R )

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%n=2Therefore,A=P(1+ 100R ) n

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%n=2Therefore,A=P(1+ 100R ) n

Rate of interest =14% per annumTime =1 yearSince the interest is compounded half yeary.Therefore,R= 214 =7%n=2Therefore,A=P(1+ 100R ) n ⇒A=289.8(1+

(1+ 100

(1+ 1007

(1+ 1007

(1+ 1007 )

(1+ 1007 ) 2

(1+ 1007 ) 2

(1+ 1007 ) 2 ⇒A=

(1+ 1007 ) 2 ⇒A= 100×100

289.8×107×107

×107×107

×107×107 =Rs.13738.8

×107×107 =Rs.13738.8Therefore,

×107×107 =Rs 13738.8Therefore,Compound interest =A−P

×107×107 =Rs.13738.8Therefore,Compound interest =A−P=13738.8−12000

×107×107 =Rs.13738.8Therefore,Compound interest =A−P=13738.8−12000=Rs.1738.8

Answer 2

The simple interest at the same rate of interest for one year would be​ Rs. 140 .

Step-by-step explanation:

Given:

Compound interest on a certain sum for 1 year at 14% per annum compounded half yearly is Rs.289.8.

To Find:

The simple interest at the same rate of interest for one year .

Formula Used:

$SI=\frac{M\times R\times S}{100}$              -------------------------------------- formula no 01.

Where SI = simple interest

M = principal

R = interest rate (in percentage)

S= time duration (in years)

$CI= Y[ ( 1+\frac{Z}{100} )^{T} -1]$        ---------------------------formula no.02

CI =  Compound Interest

Y= represents the original amount or initial amount

Z= is the annual interest rate(in percentage)

T= represents the number of years

Solution:

As given-Compound interest on a certain sum for 1 year at 14% per annum compounded half yearly is Rs.289.8.

CI = 289.8   and  Rate is compounded half yearly Z= $\frac{14}{2} =7 \%$

T=2 Years.

Applying formula no.02.

$289.8= Y[ ( 1+\frac{7}{100} )^{2} -1]$

$289.8= Y[ ( \frac{107}{100} )^{2} -1]$

$289.8= Y[ ( 1.07 )^{2} -1]$

$289.8= Y[ ( 1.1449 -1]$

$Y=\frac{289.8}{0.1449}$

$Y=Rs.2000$

Applying the formula no.01.

$SI=\frac{M\times R\times S}{100}$

M=Y =Rs.2000   , R= 7 %   and T =1 year

$SI=\frac{2000\times 7\times 1}{100}$

    $= Rs.140$

Thus, the simple interest at the same rate of interest for one year would be​ Rs. 140 .

PROJECT CODE#SPJ2