MANY will be purified vs only a FEW find it

Daniel 12:

9 He replied, “Go your way, Daniel, because the words are rolled up and sealed until the time of the end. 10 Many will be purified, made spotless and refined, but the wicked will continue to be wicked. None of the wicked will understand, but those who are wise will understand.

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The word "many" is a relative term. Here it is contrasted with the word "none". It does not specify an absolute number. This usage of "many" is consistent with the description in Revelation 7:

9 After this I looked, and there before me was a great multitude that no one could count, from every nation, tribe, people and language, standing before the throne and before the Lamb. They were wearing white robes and were holding palm branches in their hands.

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On the other hand, Matthew 7:

13“Enter through the narrow gate. For wide is the gate and broad is the road that leads to destruction, and many enter through it.

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"narrow" is contrasted with "wide".

14 But small is the gate and narrow the road that leads to life, and only a few find it.

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Compared to the wide road, few people are on it. The word "few" does not specify an absolute number but a relative number compared with the number of people on the wide road.

How to reconcile Daniel 12:10 and Matthew 7:14?

There is no contradiction here. Neither passages give any absolute numbers that we can use to compare the two passages. Each passage makes sense without its own context. Revelation shows that many many people will be saved in the end but we don't know exactly how many will be saved or lost. There are no absolute numbers in any of the passages that we can use to make such inter-book comparisons.