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Question : What is the sum which earned interest ? Statements : a. The total simple interest was Rs. 9000 after 9 years. b. The total of sum and simple interest was double of the sum after 6 years.

Only a is sufficient
Neither a nor b is sufficient
Only b is sufficient
Both a and b sufficient

Correct Answer: Both a and b sufficient

Explanation:

Let the sum be Rs. x

a. gives, S.I = Rs. 9000 and time = 9 years.

b. gives, Sum + S.I for 6 years = 2 x Sum

--> Sum = S.I for 6 years.

Now, S.I for 9 years = Rs. 9000

S.I for 1 year = Rs. 9000/9 = Rs. 1000.

S.I for 6 years = Rs. (1000 x 6)= Rs. 6000.

--> x = Rs. 6000

Thus, both a and b are necessary to answer the question.

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