{ "address": "570d44f9c1574ecd2104fbdcdc9fce0f", "category": "other", "question": "Given 149.5 JPY per 1 USD and 0.783 GBP per 1 USD (dated 2026-09-30, sourced from Illustrative example rates for cross-rate arithmetic; replace rate_from, rate_to, rate_date, and rate_source with your own dated, cited quotes (for example the ECB euro reference rates page).), how much is 10000 JPY in GBP?", "answer": "52.37 GBP", "askedBy": { "kind": "guest", "display": "method deck", "stamped": false, "id": null }, "answeredBy": "method", "madeAt": "2026-09-30T22:39:30.722Z", "validUntil": null, "validityClass": "forever", "sources": [ { "label": "Cross Rate", "url": "https://www.investopedia.com/terms/c/crossrate.asp" } ], "supersedes": null, "supersededBy": null, "isSeed": false, "seedSource": null, "seedAttribution": null, "duplicateOfQid": null, "publishedAt": null, "unpublishedAt": null, "voteCount": 0, "queuedForSubstrate": false, "answerMethod": "method", "unsourced": false, "source": { "kind": "url", "value": "https://www.investopedia.com/terms/c/crossrate.asp", "retrieved_utc": "2026-09-30T19:29:48Z" }, "qsha256": "9e65004cc8d5ca049dd9846d402620b7dfb3a083c361362761bb9209ef3d5edc", "runOne": null, "cardContractVersion": "card_contract/1", "deck_id": "method-deck", "deck_title": "Method Deck", "method": { "name": "Currency cross rate", "version": "1", "source_url_or_file": "methods/currency-cross-rate.cjs", "sha256_of_method_file": "b53c11ca67bc425d64cf1bf46e9efd80fe19aca01dc83f82091c5055ed18ae2a" }, "receipt": { "inSubstrate": false, "local": true, "modelCallsAtMint": 0, "tokensAtMint": 0 }, "method_deck": { "inputs": [ { "name": "amount", "type": "number", "required": true, "description": "The amount, in from_currency, to convert", "min": 0 }, { "name": "base_currency", "type": "string", "required": true, "description": "Label of the common base currency both rates are quoted against (e.g. \"USD\")" }, { "name": "from_currency", "type": "string", "required": true, "description": "Label of the currency the amount is in (e.g. \"JPY\")" }, { "name": "to_currency", "type": "string", "required": true, "description": "Label of the currency to convert into (e.g. \"GBP\")" }, { "name": "rate_from", "type": "number", "required": true, "description": "Units of from_currency per 1 unit of base_currency", "min": 0 }, { "name": "rate_to", "type": "number", "required": true, "description": "Units of to_currency per 1 unit of base_currency", "min": 0 }, { "name": "rate_date", "type": "string", "unit": "ISO date", "required": true, "description": "The date rate_from and rate_to apply to; change it together with the rates to use a different day." }, { "name": "rate_source", "type": "string", "required": true, "description": "Citation for where rate_from and rate_to came from; change it together with the rates and rate_date when using a different table." } ], "outputs": [ { "name": "result", "description": "amount converted into to_currency" } ], "steps": [ "Both input rates are quoted the same way: units of that currency per 1 unit of the common base_currency.", "The visitor supplies rate_from, rate_to, rate_date, and rate_source together; this method never looks up or fetches a rate itself, so any newer official table may be substituted for all four together.", "Compute the cross rate (units of to_currency per 1 unit of from_currency): cross_rate = rate_to / rate_from.", "Convert the amount: result = amount * cross_rate.", "Round result to 2 decimal places." ], "constants": [], "examples": [ { "name": "worked example", "inputs": { "amount": 10000, "base_currency": "USD", "from_currency": "JPY", "to_currency": "GBP", "rate_from": 149.5, "rate_to": 0.783, "rate_date": "2026-09-30", "rate_source": "Illustrative example rates for cross-rate arithmetic; replace rate_from, rate_to, rate_date, and rate_source with your own dated, cited quotes (for example the ECB euro reference rates page)." }, "expected": { "answer": "52.37 GBP" }, "check": "By hand: cross_rate = 0.7830/149.50 = 0.0052366555...; 10000 JPY * 0.0052366555... = 52.366555..., rounded to 2 decimals is 52.37." }, { "name": "test vector: USD/EUR to GBP cross", "inputs": { "amount": 100, "base_currency": "EUR", "from_currency": "USD", "to_currency": "GBP", "rate_from": 1.1, "rate_to": 0.86, "rate_date": "2026-09-30", "rate_source": "Illustrative example rates for cross-rate arithmetic; replace rate_from, rate_to, rate_date, and rate_source with your own dated, cited quotes (for example the ECB euro reference rates page)." }, "expected": { "answer": "78.18 GBP" }, "check": "By hand: cross_rate = 0.86/1.10 = 0.781818...; 100 * 0.781818... = 78.1818..., rounded to 2 decimals is 78.18." }, { "name": "test vector: identical rates give a 1:1 cross rate", "inputs": { "amount": 250, "base_currency": "USD", "from_currency": "CAD", "to_currency": "AUD", "rate_from": 1.35, "rate_to": 1.35, "rate_date": "2026-09-30", "rate_source": "Illustrative example rates for cross-rate arithmetic; replace rate_from, rate_to, rate_date, and rate_source with your own dated, cited quotes (for example the ECB euro reference rates page)." }, "expected": { "answer": "250.00 AUD" }, "check": "By hand: cross_rate = 1.35/1.35 = 1 exactly, so result = amount unchanged = 250.00." } ], "disclaimer": null, "deck_category": "currency" }, "status": "minted", "kind": "method", "provenanceClass": "own_question", "provenance": { "schema": "card_provenance/2.0.0", "chain": [ { "source": { "kind": "url", "value": "https://www.investopedia.com/terms/c/crossrate.asp", "retrieved_utc": "2026-09-30T19:29:48Z" }, "sha256": "4ea67e5d678d3de902c87ef47f4678f369e09ef3c16f4d27e0bc53d51435c165", "supersedes": null, "added_utc": "2026-09-30T22:39:30.722Z", "added_by": "method:Currency cross rate", "why": "the method that computed this answer", "check": null, "status_label": "pending", "signature": null } ] } }