The 1962 Sino-India war continues to poison the goodwill between India and China, and that's too bad. For thousands of years, China and India enjoyed peace, trade, and cultural exchanges that greatly enriched the Chinese civilization. Recent improvements in Indian economy and military procurements can, in the long run, have positive influences on the two countries as India feels less vulnerable and Beijing's friendly assurances would sound less hollow (because New Delhi could take care of itself militarily) . India is a great civilization, and it is also a reemerging great power. China should stop looking down on it.
By China, I meant the general public and not the government. Strike up conversations in China vis-a-vis India, and it's clear a great number of Chinese have low opinions of India.
I have never read or heard of anyone in China looking down on India. If you focus on comparing the two countries then that inherently skews towards a competitive tone. Even when it comes to that I have heard both official and personal admiration by China/Chinese of India/Indians at how much better India/Indians have continued to embrace their culture and heritage in their lives from clothing to music to religion. That living confidence and faith India and Indians have in their own culture and heritage is something I also think a lot of Chinese and China can stand to learn from and hopefully rediscover within themselves. I am not as familiar with the feelings on the Indian side though I suspect the lingering effects of British colonialism probably leaves a segment of the Indian population particularly susceptible to Western prejudice and propaganda against China/Chinese.