Answer:
Cynthia recognized a gain of $7,500
Step-by-step explanation:
Outside basis=market fare value of Cynthia's share
Outside basis= $30,000
Debt=$15,000,debt is a liability
Net value of Cynthia's share=Value of share-Liabilities
Replacing;
Net value of Cynthia's share=(30,000-15,000)=$15,000
She sells the value of Cynthia's share together with her debt;
She sells Net value of her share=$15,000 to Roger for $22,500
Cynthia's gain=Selling value-Net value of share
where;
Selling value=$22,500
Net value of share=$15,000
replacing;
Cynthia's gain=(22,500-15,000)=$7,500
Cynthia recognized a gain of $7,500