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Select the correct answerIf x, y, z are three sum of money such that y is the simple interest on x and z is the simple interest on y for the same time and at the same rate of interest, then what is the relation between x, y, z we have.

Question

Select the correct answerIf x, y, z are three sum of money such that y is the simple interest on x and z is the simple interest on y for the same time and at the same rate of interest, then what is the relation between x, y, z we have.

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Solution

The relationship between x, y, and z in this case can be expressed as follows:

Since y is the simple interest on x, we can write it as y = rxt, where r is the rate of interest and t is the time.

Similarly, since z is the simple interest on y, we can write it as z = ryt.

Substituting the value of y from the first equation into the second, we get z = rx(rxt) = r^2x^2t^2.

So, the relationship between x, y, and z is z = r^2x^2t^2.

This problem has been solved

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