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The Dutchman's closest rival Charles Leclerc was handed a five-second post-race penalty in the Japanese GP.
The Monegasque, who started from pole, crossed the line 5.5 seconds ahead of Spaniard Sainz.
The 23-year-old dominated from pole position to take the chequered flag in the first Dutch GP for 36 years, beating Mercedes' seven-time world champion Lewis Hamilton and Valtteri Bottas.
Mercedes' seven-time world champion Hamilton finished a distant fourth, with teammate Valtteri Bottas second and McLaren's Lando Norris third, as Red Bull chalked up their fifth win in a row.
Verstappen led from start to finish at Austria's Red Bull Ring, with seven-time world champion Hamilton second for Mercedes.
The 23-year-old, now level with Hamilton on three wins for the season, also set the fastest lap and has 131 points to Hamilton's 119.
A tyre blowout denied Max Verstappen victory and Lewis Hamilton failed to score.
Verstappen finished second at the Algarve circuit with Mercedes' Valtteri Bottas completing the podium, and taking a bonus point for the fastest lap, after starting from pole position.
Verstappen, who passed the Briton with four laps to go only to have to hand back the lead for exceeding track limits, finished a mere 0.745 seconds behind after starting on pole position.
Perez, who vaulted to fourth in the overall standings after Sunday's race, is the first Mexican driver to win a race since Pedro Rodriguez took victory in the 1970 Belgian Grand Prix.