A perpetuity pays $X at the beginning of year 1 and continues to increase payments at the beginning of each subsequent year by $X. The present value of this perpetuity is equal to the present value of an annuity that pays $1,000 at the start of the first year, $990 at the start of the second year, $980 at the start of the third year and so on for 30 years. The annual effective interest rate is 5%. What is X?