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Given, Amount=A1 =Rs 720

Time = 2 yrs

Let P=Principal

and R=Rate %

Simple Interest after 2 yrs = A1- P

Now,

720-P=(P x R x 2)/ 100

=(P x R x 2)/100 ................(I)

Next, Amount = A2 = Rs 1020

Time = 2 + 5 =7 yrs (i.e 2 + a further period of 5 yrs)

R= Rate %( same as above)

Simple Interest after 7yrs = A2- P

now,

1020-P =( P x R x 7)/100 ..................(II)

Next,

equation (I) divided by equation (II), we get

7 (720-P) = 2(1020-P)

solving it we get 5P=3000

or, P = Rs. 600.Ans.

if you want to get the value of R, substitute the value of P in either of the equation then you'll get it to be 10%.

( This problem was solved by Shri. Junemon Paswet from Ladthadlaboh Jowai,West Jaintia Hills District. on the 23/0ct/2012 )

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Q: A sum of money lent out at simple interest amounts to Rs720 after 2 years and to Rs1020 after a further period of 5 years The sum is?
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