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Test Index
Compound Interest Practice Test 3
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© examsnet.com
Question : 29
Total: 40
Sharma invested one-half of his savings in a bond that paid simple interest for 2 years and received Rs 550 as interest. He invested the remaining in a bond that paid compound interest, the interest being compounded annually for the same 2 years at the same rate of interest and received Rs 605 as interest. What was the value of his total savings before investing in these two bonds?
Rs 22,000
Rs 11,000
Rs 5,500
Rs 2,750
Validate
Solution:
Simple interest for 2 years = Rs 550
Simple interest for 1year = Rs 275
Simple interest and compound interest are same in the first year.
So,
275
=
P
×
1
×
R
100
⇒
27
,
500
=
P
R
330
=
(
P
+
275
)
×
1
×
R
100
33
,
000
=
P
R
+
275
R
33
,
000
=
27
,
500
+
275
R
5
,
500
=
275
R
R
=
5500
275
=
20
%
Now,
P
×
20
×
1
100
=
275
P
=
275
×
100
20
=
1375
So, his total savings before investing in two bonds is Rs 2,750.
© examsnet.com
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