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Question

Simple interest on a sum is 9/16 of the sum.
Find the rate per cent and the time if both are numerically equal.

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Solution

Let the principal amount be Rs. x and the rate percent and time be y(as it is given they r numerically equal).
Now we know that.....
\
I=(P*R*T)/100

=>I =xy^2/100

Also, it's given that

I= 9/16x...

So we have got two equations.... let's equate them,

xy^2/100=9/16x

=>y^2=900/16

=>y=30/4

=Now,

We have got our answer.... So the rate percent is 7.5percent per annum and years =7 yrs and 6 months......


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