Question

22. A sum of money lent at simple interest amounts to 783 in 2 years and to 837 in 3 years.
Find the sum and the rate per cent per annum.
23. A sum of money lent at simple interest amounts to * 4745 in 3 years and to 5475 in
5 years. Find the sum and the rate per cent per annum,​

Answer 1

Answer:

Amount after 2 years =Rs.783

Amount after 3 years =Rs.837

Therefore,

S.I. of 1 year =837−783=Rs.54

⇒ S.I. of 2 years =54×2=Rs.108

Principal sum =783−108=Rs.675

Therefore,

S.I.=

100

PRt

⇒54=

100

675×R×1

⇒R=

675

54×100

=8%