Question

Pls Help me in this question Give a understandable explanation:-

Q:-
A sum of money invested at 6% per annum simple interest for a certain period of time yields Rs 960 as interest. If this sum had been invested for 5 more years, it would have yielded Rs 2160 as interest. Find the sum​

Answer 1

Answer:

According to the problem,

Let sum be P

R=6%

Time=Tyears

S.I=

100

P×6×T

S.I=Rs960

100

P×6×T

=960

P×T=16000----------------(1)

Now For sum

Sum=RsP,R=6%,T=5years

S.I=

100

P×6×(T+5)

=2160

100

P×6×T

+

100

P×6×5

=2160

100

16000×6

+

100

P×30

=2160

100

P×30

=2160−960

100

P×30

=1200

P=

30

1200×100

=Rs.4000

Therefore the Sum is Rs, 4000.