Question

15) If the difference of the CI and the SI on a sum of money for two years is Rs 12.50 at the annual
interest rate of 5%, find the sum of money​

Answer 1

Answer:

Rs2000

Step-by-step explanation:

T=2years, R=5%p.a,

CI−SI=Rs5

Let the sum of money lent be x.

Then,

Simple Interest=Rs

100

x×2×5

=Rs

10

x

Compound Interest:-

Interest for the 1st year=Rs

100

x×5×1

=Rs

20

x

Amount after the 1st year=Rs x+

20

x

=Rs

20

21x

Interest for the 2nd year=Rs

20

21x

×

100

5×1

=Rs

400

21x

Amount after the 2nd year=Rsx+

400

21x

+

20

21x

=Rs

400

441

Then,

400

41x

−

10

x

=5

⇒

400

41x−40x

=5

⇒x=Rs 2000

∴Required sum of money lent=Rs2000

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