Question

A certain sum amounts to Rs 5292 in two years and Rs 5556.60 in three years,

interest being compounded annually. Find:

i) The rate of interest

ii) The original sum​

Answer 1

Answer:

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=100PRT

⇒264.60=1005292×R×1/100

MATHS

A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find the original sum

A .

Rs. 7000

B .

Rs. 6200

C .

Rs. 5600

D .

Rs. 4800

January 17, 2020Nikunj Malik

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ANSWER

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=100PRT

⇒264.60=1005292×R×1

⇒R=5292264.60×100=5%

Let the sum=Rs. x

Amount =Rs.5292, Time 2 years, R=5%

Amount=P(1+100R)t

⇒5292=x(1+1005)2

⇒5292=x×100105×100105

⇒x=105×1055292×100×100/105×105 = rs4800