Question

on certain sum of money the difference between the compound interest for a year payable half-yearly and the simple intrest for a year is Rs 180.Find the sum lent out if the rate of intrest in both the cases is 10% per annum.​

Answer 1

MATHS

On a certain sum of money, the difference between the compound interest for a year, payable half-yearly, and the simple interest for a year is Rs. 180/−. Find the sum lent out, if the rate of interest in both the cases is 10% per annum.

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Sanha Nausheen

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ANSWER

For ,

N=1year

R=10 %

We have S.I.=

100

PNR

=

100

P×1×10

=Rs0.1P

When interest being compounded for half yearly, for 1 year

We have, N=2

And R=

2

10

=5 %

AndAmount=P(1+

100

R

)

N

=P×(1+

100

5

)

2

=P×1.05

2

=1.1025P

And C.I.=A−P=1.1025P−P=0.1025P

Given, C.I.−S.I.=Rs180

⇒0.1025P−0.1P=Rs180

⇒0.0025P−Rs180

⇒P=Rs72,000