The unemployment rate is:
U = 10,000/(90,000 + 10,000)×100% = 10%.
4,000 people looking for work get discouraged and give up their searches, then:
U = 6,000/(90,000 + 6,000)×100% = 6.25%.
So, the unemployment rate decreases, but it is a bad news for the economy, because the size of labour force also decreases.
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