Es una pregunta muy fácil. La capital es Lima.

La capital de Perú es Lima.... porque lo preguntas?

¿Vas a vivir allí?

Lima es la capital de Perú,y antes del inicio de la republica de Perú, era la capital del Virreinato de Peru y, por siglos, la ciudad mas importante de America del Sur.

I think it's a reasonable question. I have a friend that was born in a Quechua village in Peru. He didn't know that Peru was a country or that Lima was the capital until he had to go to school where he finally learned Spanish.