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Question

What was the total compound interest on a sum after three years?
I. The simple interest after one year was Rs. 100/- and the sum was Rs. 1,000/-
II. The difference between simple and compound interest on a sum of Rs. 1,000/- at the end of two years was Rs. 10/-

A
Data in the statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
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B
Data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
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C
Data either in statement I alone or in statement II alone are sufficient to answer the question.
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D
Data given in both the statements I and II together are not sufficient to answer the question.
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E
Data in both the statements I and II together are necessary to answer the question.
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Solution

The correct option is C Data either in statement I alone or in statement II alone are sufficient to answer the question.
From the statement I.
r=100×1001000=10%
Thus we have,
P=Rs.1000,r=10%,t=3 years
Hence, C.I. can be determined
From the statement II.
S.I.=1000×r×21000=20rC.I.=1000[(1+r100)21]
C.I.S.I.=1000[200r+r210000]20r2000r+r2200r=100r=10
Hence, C.I. can be determined.

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