Question

If the interest on 2,400 be more than the interest on 2,000 by 60 in 3 years at the same rate per cent find the rate.​

Answer 1

Simple Interest I=

100

PNR

For the first situation, Given,

P=Rs2,400

N=3years

So, =>I

1

=

100

PNR

=>I

1

=

100

2,400×3×R

=>I

1

=72R

For the second situation, Given,

P=Rs2,000

N=3years

So, =>I

2

=

100

PNR

=>I

2

=

100

2,000×3×R

=>I

2

=60R

Given, I

1

−I

2

=Rs60

=>72R−60R=60

=>12R=60

=>R=5 %

Answer 2

In First Case :-

=> P = Rs. 2400

=> R = x % ( assume )

=> T = 3 years.

=> Interest = ( P × R × T ) / 100

=> Rs. ( 2400 × x × 3 ) / 100

=> Rs. 72x

In second case :-

=> P = Rs. 2000

=> R = x % ( assume )

( Rate same as in first case)

=> T = 3 years

=> Interest = ( P × R × T ) / 100

=> Rs. ( 2000 × x × 3 ) / 100

=> Rs. 60x

According to the statement :-

72x = 60x + 60

=> 72x - 60x = 60

=> 12x = 60

=> x = 60 / 12

=> x = 5

:- Rate = 5%

I hope this will help you dear..

Always stay safe and stay healthy..