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Leasing Activities - Additional Information (Detail) (USD $)
3 Months Ended
Mar. 31, 2015
Restaurants
Mar. 31, 2014
Restaurants
Operating Leased Assets [Line Items]    
Number of restaurants leased to Del Taco 6us-gaap_PropertySubjectToOrAvailableForOperatingLeaseNumberOfUnits 6us-gaap_PropertySubjectToOrAvailableForOperatingLeaseNumberOfUnits
Number of properties subleased to Del Taco franchisee 1dtrpi_SubleasedAssetsNumberOfUnits  
Number of lease years 35 years  
Percentage of gross sales of restaurants 12.00%dtrpi_PercentageOfGrossSalesOfRestaurants  
Leases expiration period 2020 to 2021  
Minimum rentals due to partnership $ 3,500us-gaap_OperatingLeasesRentExpenseMinimumRentals  
Number of restaurants operated 5dtrpi_NumberOfRestaurantsOperated  
Combined unaudited sales 1,504,262us-gaap_SalesRevenueGoodsGross 1,360,037us-gaap_SalesRevenueGoodsGross
Combined unaudited net income (losses) 31,680dtrpi_OperatingLeasesNetIncomeLoss (11,733)dtrpi_OperatingLeasesNetIncomeLoss
Del Taco franchisee [Member]    
Operating Leased Assets [Line Items]    
Number of restaurants operated 1dtrpi_NumberOfRestaurantsOperated
/ us-gaap_LeaseArrangementTypeAxis
= dtrpi_DelTacoFranchiseeMember
 
Combined unaudited sales $ 241,156us-gaap_SalesRevenueGoodsGross
/ us-gaap_LeaseArrangementTypeAxis
= dtrpi_DelTacoFranchiseeMember
$ 220,788us-gaap_SalesRevenueGoodsGross
/ us-gaap_LeaseArrangementTypeAxis
= dtrpi_DelTacoFranchiseeMember