The trip cost depends on where you are travelling from and your accommodation and travel choices. However, on average you can have a one week trip in about 15000. You can get details of customised pa (Read More)ckages here-
http://www.holidify.com/custom-package/?referrer=utm_source%3Dwebsite%26utm_medium%3Dheader%26utm_campaign%3Dheader
Late March is not ideal if you're looking to find snow over there. Snow season typically ends by March first week, but if you're lucky, you might catch a day or two with snow as well.