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Q.

At what rate percent per annum will the simple interest on a sum of money be Question Image of the amount in Question Image years ?


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a

 Question Image

b

 Question Image

c

 Question Image

d

 Question Image

answer is C.

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Detailed Solution

Concept:  Assume the principal amount and the rate of interest be two different variables. Now, to calculate the simple interest apply the formula ,Question Image. Also, equate the required simple interest value and the principal amount (condition given in the question) and solve.
Let, the principal amount be Question ImageAnd the rate of interest be Question ImageTime period,Question Image years
Using Simple interest formula,
Question ImageQuestion ImageQuestion ImageGiven that,
Simple interest is the Question Image of the principal amount,
It implies that,
Question ImageQuestion ImageCross- multiplying both the sides,
Question ImageQuestion ImageThe rate of interest per annum is Question Image.
Hence, the correct answer is option (3) .
 
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