✅ Answer: Please pay attention to the following narrations:

1 مُحَمَّدُ بْنُ يَعْقُوبَ عَنْ مُحَمَّدِ بْنِ يَحْيَى عَنِ الْعَمْرَكِيِّ عَنْ عَلِيِّ بْنِ جَعْفَرٍ عَنْ أَخِيهِ أَبِي الْحَسَنِ قَالَ: سَأَلْتُهُ عَنْ جُعْلِ الْآبِقِ وَ الضَّالَّةِ قَالَ لَا بَأْسَ بِهِ.

📚 Al-Kafi, Vol. 6, p. 201

Translation: Ali ibn Ja'far said: 'I asked Musa ibn Ja'far (peace be upon him) about the Ju'l (reward and commission) for a runaway slave and a lost item.' The Imam said: 'There is no objection.'

✅ 'Ju'l' refers to the wage, reward, or commission that is set for performing a task.

2 عَنِ الْحُسَيْنِ بْنِ زَيْدٍ عَنْ جَعْفَرٍ عَنْ أَبِيهِ قَالَ كَانَ أَمِيرُ الْمُؤْمِنِينَ يَقُولُ فِي الضَّالَّةِ يَجِدُهَا الرَّجُلُ فَيَنْوِي أَنْ يَأْخُذَ لَهَا جُعْلًا فَتَنْفُقُ قَالَ هُوَ ضَامِنٌ فَإِنْ لَمْ يَنْوِ أَنْ يَأْخُذَ لَهَا جُعْلًا وَ نَفَقَتْ فَلَا ضَمَانَ عَلَيْهِ.

📚 Faqih, Vol. 3, p. 396

Translation: Imam Baqir (peace be upon him) said: 'The Commander of the Faithful (peace be upon him) used to say about a lost item: 'When a person finds it and intends to take a reward and commission for it, and then it is lost, he is liable. But if he has no intention of taking a reward for it and it is lost, he is not liable.'

✅ As you can see in the first narration, it is not objectionable to set a reward for finding a lost item. For example, a person can say: 'Whoever finds my lost gold will be paid a certain amount as a reward,' and the person who finds the lost item can receive their reward.

Setting a reward for finding a lost item

Reward