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Organization and Summary of Significant Accounting Policies - Additional Information (Detail)
3 Months Ended 12 Months Ended
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2012
Sep. 30, 2012
Jun. 30, 2012
Mar. 31, 2012
Dec. 31, 2011
Dec. 31, 2014
Restaurants
CommercialBank
Dec. 31, 2013
Dec. 31, 2012
Organization And Significant Accounting Policies [Line Items]                              
Date of formation                         Nov. 30, 1982    
Mexican-American restaurants                         6us-gaap_NumberOfRestaurants    
General partner interest in partnership                         1.00%dtrpi_GeneralPartnerInterest    
Percentage of net income allocated to general partner                         1.00%dtrpi_PercentageOfNetIncomeAttributableGeneralPartner    
Weighted average number of units outstanding to general partner 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 8,751us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding
Rental revenue percentage                         12.00%dtrpi_RentalRevenuePercentage    
Restaurants leased                         6dtrpi_NumberOfLeasedRestaurants    
Commercial bank                         1dtrpi_NumberOfMajorCommercialBanks    
Land improvements [Member]                              
Organization And Significant Accounting Policies [Line Items]                              
Estimated useful lives of property and equipment                         20 years    
Buildings and improvements [Member]                              
Organization And Significant Accounting Policies [Line Items]                              
Estimated useful lives of property and equipment                         35 years    
Machinery and equipment [Member]                              
Organization And Significant Accounting Policies [Line Items]                              
Estimated useful lives of property and equipment                         10 years