Question

If x, y, z are three sums 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 we have-

Options

• z² = xy

• xyz = 1

• x² = yz

• y² = zx

Answer 1

y² = zx

Explanation:

S.I. = `("P" xx "R" xx "T")/100`

∴ y = `("x" xx "T" xx "R")/100`

∴ z = `("y" xx "T" xx "R")/100`

∴ `"y"/"z" = "x"/"y" ⇒ "y"^2 = "zx"`