History of Hindu Mathematics: A Source Book v2.c17.s10.66

v2.c17.s10.66

Again, there are problems involving the equations: $u + x = p, & uxw = α m, / u + y = q. & uyw = α n.$ Where x, y are the periods for which the principal u is lent out at the rate of interest w per α and m, n are the respective interests. $Here m/n = x/y = (p - u)/(q - u).$ $Therefore u = (mq - np)/(m - n).$