Which of the following is a right of a co-tenant?

The right of a co-tenant to recoup improvements at the time of sale is rooted in the principle of equitable ownership within a co-tenant arrangement. When co-tenants collectively own a property, each has rights not only to possess and enjoy the property but also to be reimbursed for any significant improvements made to enhance the property's value. This right ensures fairness among co-tenants because it allows the co-tenant who invested in improvements to receive a portion of their investment back when the property is sold. This principle reflects the recognition that all co-tenants benefit from an increase in property value due to an improvement.

In contrast, the other choices do not accurately reflect the typical rights associated with co-tenants. Exclusive possession without accounting to others suggests a level of control that is generally not permitted among co-tenants since all have rights to the property. Imposing duties on other co-tenants implies a unilateral ability to dictate terms, which is not inherently a right of individual co-tenants. Full accountability for all profits would unfairly place the burden of profit-sharing solely on one tenant, which contradicts the principle of shared ownership.