as you want to purchase a home gym,it is good,but without gym,too you can do the exercise for loosing weight.
you strictly control your diet, no fat in your diet, less carbohydrate
. take more citrus fruits,no banana,chiku, or apples.take more green salads as after that you may get less appetite and you get less calories.
In house you can do jumping,rope jumping,leg raising exercise which are enough to loose weight,but remember that it should be carried out regularly without gap of days.
i am hopeful, you will loose 10 kg. wt. within two months.