Buddhists rejected the caste system.
Hinduism and Buddhism share some beliefs as well.
This final point is called the Noble Eightfold Path, this being eight steps consisting of wisdom (right views, right intention) ethics (right speech, right action, right livelihood), mental discipline (right effort, right mindfulness, right concentration), which ultimately lead to liberation from the source of suffering. Although initially hesitant to share his insight on the grounds that humanity might not be ready for such a teaching, the Buddha decided to communicate his discovery to those willing to listen.
Hinduism and Buddhism share some of the following similarities.
The Buddha continued the tradition at a time when India was teeming with scores of ascetic movements and teacher traditions. He was also not the first to find a link between desire and suffering. The ascetic and renunciant traditions that preceded him also considered desire as the root cause of suffering. It is also difficult to believe that the Buddha had the first glimpse of suffering only when he went out into the streets. As a prince and as the designated successor to his father's kingdom, he must have had formal education and interacted with several teachers and spiritual masters as he grow up. The knowledge he gathered and the experiences he had in the public must have triggered in him the resolve to find a solution to the problem of suffering.
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6. Hinduism recognizes four chief aims of human life, namely dharma (religious duty), artha (wealth or material possessions), kama (desires and passions) and moksha (salvation). Buddhism considers the world full of suffering and resolving it as the chief purpose of human life. Therefore, it recognizes only two aims, namely the practice of Dharma (Buddha's teachings) and liberation (Nirvana).
Hinduism and Buddhism are the two main religions of Ancient India
8. Buddhists organize themselves into a monastic Order (Sangha) and the monks live in groups. Hinduism is basically a religion of the individual.
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3. Buddhism does not believe in the existence of souls as well in the first cause, whom we generally call God. Hinduism believe in the existence of Atman , that is the individual soul and Brahman, the Supreme Creator.