Question

38. A person lent out a certain sum on simple interest
and the same sum on compound interest at a certain
rate of interest per annum. The ratio between the
difference of compound and simple interest of 3 years
and that of 2 years is 25:8. Find the rate of interest
per annum.


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Answer 1

Answer:

MATHS

A person lent out a certain sum on simple interest and the same sum on compound interest at certain rate of interest per annum. He noticed that the ratio between the difference of compound interest and simple interest of 3 years and that of 2 years is 25:8. The rate of interest per annum is........

December 26, 2019avatar

Gurram Salman

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ANSWER

SI=Prt

CI=P(1+

n

r

)

nt

−P

n=1{Parannum}

CI=P(1+r)

t

−P

CI−SI=P(1+r)

t

−P−Prt

at t=3

CI−SI=P(1+r)

3

−P−3Pr...(1)

at t=2

CI−SI=P(1+r

2

)−P−2Pr...(2)

1÷2

P(1+r)

2

−P−2Pr

P(1+r)

3

−P−3Pr

=

8

25

(1+r)

2

−1−2r

(1−r)

3

−1−3r

=

8

25

1+r

2

+2r−1−2r

1+r

3

+3r+3r

2

−1−3r

=

8

25

r

2

r

3

+3r

2

=

8

25

r+3=

8

25

r=.125

%r=12.5%

=12

2

1

%

Explanation:

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