The mentioned discount ticket is called in Japanese as Kanku Chikatoku Kippu.
You can use this ticket as long as you have a subway train ride until Namba and a Nankai train ride from Namba on the same day;
however, this ticket saves only 100 yen for your case, and it does not cover the Nankai Limited Express surcharge for a Rapi:t train ride from Namba, which is 510 yen.
When you choose Nankai Rapi:t, the following discount tickets are better cost-wise.
- Kanku Tokuwari Rapi:t Ticket
http://www.howto-osaka.com/en/ticket/ticket/tokuwari.html- Kanku-WEBTOKU Ticket
http://www.howto-osaka.com/en/ticket/ticket/webtoku.htmlSeats in a Nankai Rapi:t train require reservation; as long as there is vacancy, your can secure your seat.
[With regular tickets only]
(A) 180 yen
: Subway basic fare to get from Tanimachi 9-chome [Kyuu-chome] to Namba.
(B) 920 yen
: Nankai basic fare to get from Namba to Kansai-airport.
(C) 1100 yen = (A) + (B)
: Minimum cost.
(D) 510 yen
: Nankai Limited Express surcharge for Rapi:t train ride from Namba.
(E) 1610 yen = (C) + (D)
: Cost to be paid when you choose Nankai Rapi:t.
[With "Chikatoku" ticket and Nankai Limited Express ticket]
(R) 1000 yen on the discount ticket, instead of (C).
(S) 1510 yen = (R) + (D)
: Cost to be paid when you choose Nankai Rapi:t.
[With "Tokuwari" ticket and Subway basic-fare ticket]
(T) 1270 yen on the discount ticket, instead of (B) + (D).
(U) 1450 yen = (A) + (T)
: Cost to be paid when you choose Nankai Rapi:t.
[With "WEBTOKU" ticket and Subway basic-fare ticket]
(W) 1130 yen on the discount ticket, instead of (B) + (D).
(X) 1310 yen = (A) + (W)
: Cost to be paid when you choose Nankai Rapi:t.