Question

A certain sum amounts to 5292 in 2 years and to 5556.60 in 3 years at compound interest. Find the rate and sum.​

Answer 1

Step-by-step explanation:

Sum amounts to rupees 5292 in 2 years and with 5556.60 in 3 years. To Find: Rate of interest and the original sum. 2) This is the scaling factor of the rate of the interest for the one year and rate is obtained as 1/20 which is 5%.

Answer 2

Sum after 2 years=Rs.5292

Sum after 3 years =Rs.5556.60

Interest for onr year =5556.60−5292=Rs.264.60

C.I for 1 year=S.I for 1 year

Interest=

100

PRT

⇒264.60=

100

5292×R×1

⇒R=

5292

264.60×100

=5%

Let the sum=Rs. x

Amount =Rs.5292, Time 2 years, R=5%

Amount=P(1+

100

R

)

t

⇒5292=x(1+

100

5

)

2

⇒5292=x×

100

105

×

100

105

⇒x=

105×105

5292×100×100

=Rs.4800