the interest paid on each of the three different sums of money yeilding 1%, 2% and 4% simple interest per annum respectively, is the same. find the average yield percent on the total sum inverted.

Let the three sums of money be x, y and z yielding 1%, 2% and 4% simple interest per annum respectively.

Given, the simple interest generated on all the three sums are equal.

So, let the simple interest be Rs a.

We know that, 

SI =

For sum of money Rs x and yield 1%, we have

For sum of money Rs y and yield 2%, we have

For sum of money Rs z and yield 4%, we have

Adding equations (1), (2) and (3), we get

x + y + z = 100a + 50a + 25a 

⇒ x + y + z = 175a

Now, average yield percent on the total sum invested =  

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