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in Mathematics by (63.7k points)

The simple interest on a sum of money is 4/9 of the principal .Find the rate percent and time, if both are numerically equal.

1 Answer

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Let sum = Rs. x. Then, S.I. = Rs. 4x/9 

Let rate = R% and time = R years. 

Then, (x*R*R)/100=4x/9 or R2 =400/9 or R = 20/3 = 6 2/3. 

Rate = 6 2/3 % and Time = 6 2/3 years = 6 years 8 months.

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