The difference between S.I. and C.I. on a sum for
2 years at 8% per annum is Rs. 160. If the interest
were compounded half yearly, the difference in
interests in two years will be nearly
(a.) Rs. 246.46
(b.) Rs. 240
(c.) Rs. 168
(d.) Rs. 160
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Answer:
Step-by-step explanation:
T=2years, R=5%p.a,
CI−SI=Rs5
Let the sum of money lent be x.
Then,
Simple Interest=Rs
100
x×2×5
=Rs
10
x
Compound Interest:-
Interest for the 1st year=Rs
100
x×5×1
=Rs
20
x
Amount after the 1st year=Rs x+
20
x
=Rs
20
21x
Interest for the 2nd year=Rs
20
21x
×
100
5×1
=Rs
400
21x
Amount after the 2nd year=Rsx+
400
21x
+
20
21x
=Rs
400
441
Then,
400
41x
−
10
x
=5
⇒
400
41x−40x
=5
⇒x=Rs 2000
∴Required sum of money lent=Rs2000.
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