Contract Assets, Net - Schedule of Contract Assets, Net (Details)	12 Months Ended
Mar. 31, 2026 HKD ($)	Mar. 31, 2026 USD ($)	Mar. 31, 2025 HKD ($)	Mar. 31, 2026 USD ($)
Contract with Customer, Asset, after Allowance for Credit Loss [Abstract]
Beginning balance	$ 91,098,639	$ 11,619,724	$ 59,554,163
Addition	66,392,046	8,468,373	40,444,438
Changes due to billings	(91,537,573)	(11,675,711)	(8,087,529)
Acquisition of subsidiaries	7,478,885	953,939
Deconsolidation of subsidiaries	(9,879,634)	(256,460)
Total	63,552,363		91,911,072	$ 8,106,168
Reversal (allowance) for expected credit losses	2,010,644	256,460	(812,433)
Ending balance	$ 65,563,007	$ 8,362,628	$ 91,098,639

The amount of contract with customer asset acquisition of subsidiaries.

No definition available.

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Namespace Prefix:	ritr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Represents the amount of addition.

+ References

No definition available.

+ Details

Name:	ritr_ContractWithCustomerAssetAddition
Namespace Prefix:	ritr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Changes due to billings.

+ References

No definition available.

+ Details

Name:	ritr_ContractWithCustomerAssetChangesDueToBillings
Namespace Prefix:	ritr_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The amount of contract with customer asset deconsolidation of subsidiaries.

+ References

No definition available.

+ Details

Name:	ritr_ContractWithCustomerAssetDeconsolidationOfSubsidiaries
Namespace Prefix:	ritr_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount of expense (reversal of expense) for expected credit loss on right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 13
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479319/326-20-50-13

Reference 2: http://www.xbrl.org/2003/role/exampleRef
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Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 220
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-Name Accounting Standards Codification
-Section 50
-Paragraph 22
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147476148/220-40-50-22

Reference 4: http://www.xbrl.org/2003/role/disclosureRef
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-Section 50
-Paragraph 4
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-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479806/606-10-50-4

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount, before allowance for credit loss, of right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time, classified as current.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479837/606-10-45-1

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 606
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-Name Accounting Standards Codification
-Section 45
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479837/606-10-45-3

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount, after allowance for credit loss, of right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time, classified as current.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 11
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479806/606-10-50-11

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
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-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479837/606-10-45-3

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Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
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-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479806/606-10-50-8

+ Details

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Balance Type:	debit
Period Type:	instant