Option (B): Both (A) and (R) are true, but (R) is not the correct explanation of (A).
Assertion (A) is true — women organised and agitated for equal rights worldwide. Reason (R) is also true — more radical women's movements did aim at equality in personal and family life. However, (R) explains only one aspect of the women's movement and is not the correct or complete explanation of why women organised for equal rights in general.
The key distinction here: (A) refers to the broad global agitation for equal rights (voting rights, political and legal status, education, career opportunities). (R) refers specifically to the more radical feminist goal of equality in personal/family life — this is a part of the movement, not its cause or explanation. Since both statements are factually correct but (R) does not explain why (A) happened, the answer is (B). Always check if the Reason is the cause/explanation of the Assertion, not just a related fact.