Question

a certain sum of money lent out at simple interest amounts to ₹1,550 in three years and ₹1,750 in five years.Find the principal and the rate of interset​

Answer 1

Step-by-step explanation:

Correct option is

A

1250

Let principal be P and rate of interest be R.

So in 3 years , Interest I=

100

P×R×T

=

100

3PR

Amount(A)=P+I⇒1550=P+

100

3PR

⇒P(1+

100

3R

)=1550...(1)

And in 5 years , Interest I=

100

P×R×T

=

100

5PR

Amount(A)=P+I⇒1750=P+

100

5PR

⇒P(1+

100

5R

)=1750...(2)

Dividing equation 1 and 2 we have,

P(1+

100

5R

)

P(1+

100

3R

)

=

1750

1550

⇒

(100+5R)

(100+3R)

=

35

31

⇒35(100+3R)=31(100+5R)

⇒155R−105R=3500−3100

⇒50R=400

⇒R=8

Putting the value of R in equation 1,

P(1+

100

3×8

)=1550

P=

124

1550×100

=1250

Answer 2

Answer:

a certain sum of money lent out at simple interest amounts to ₹1,550 in three years and ₹1,750 in five years.Find the principal and the rate of interset

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