I'll write some variations, I often say.
Hope you find the appropriate one for your feeling.
いいえ、どういたしまして。iie dou itashimashite. : You're welcome. / My pleasure. (+ don't mention it / No problems. because of "いいえ”)
いえ、いえ。ie ie. : no, no. / no problems.
こちらこそ。kochira koso. : no, I should thank you. / thank you, too.