Question

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 ₹180. Find the sum lent out, if rate of interest in both the cases is 10%.

Answer 1

Answer:

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

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