Combine tamarind pulp and water in a small saucepan over low heat. Stir until tamarind pulp is completely dissolved; remove from heat.
Strain the tamarind mixture into a shaker and add tequila, and sugar. Shake vigorously. Fill shaker with ice and add lime juice and orange juice. Shake again until combined. Strain into two margarita glasses.
*Soak 14 oz tamarind block in lukewarm water for 20 minutes, push through sieve to collect pulp.