The compound interest on a sum
of money for 2 years is Rs. 205 and
the S.l. on the same sum for the
same period at the same rate is Rs.200. The sum is : [B.Ed., 2010)
(b) Rs. 2000
(d) Rs. 1000
(a) Rs. 2500
(c) Rs. 1500
pls explain full answer
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S.I. for 2 year = Rs. 200
∴ S.I. for 1 year = Rs. 100
∵ C.I. and S.I. for 1 year is equal
∴ C.I. for 1 year = Rs. 100
∴ C.I for the 2
nd
year = Rs. 110
Then S.I. on Rs. 200 for 1 year=110−100= Rs. 10
S.I. =
100
PRT
⇒R=
PR
S.I.×100
⇒R=
100
10×100
=10%
Now time =1 year, R=10%, S.I =100
∴P=
10×1
100×100
= Rs. 1000
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