Infinity Corp. purchased land from a nonaffiliate on January $1,20$X$1$ for $$100,000.$ It transferred the land to its subsidiary, Trust Corp., on July $1,20$X$1,$ and received $$150,000$ as proceeds from this transaction. Trust sold the land to a high$-$net$-$worth$-$individual for $$200,000$ on January $1,20$X$3.$ Which of the following is true of the realized gain of the consolidated group as of December $31,20$X$3?$

Multiple choice question.

The group would realize a gain of $$100,000$ on the sale of the asset in the year $20$X$3.$

The group would realize a gain of $$100,000$ on the sale of the asset in the year $20$X$1.$

The group would realize a gain of $$50,000$ on the sale of the asset in the year $20$X$1.$

The group would realize a gain of $$50,000$ on the sale of the asset in the year $20$X$3.$