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hard · GMAT Quant

A central bank adjusts monetary reserves between Branch 1 and Branch 2, preserving an aggregate currency total of $15,000,000. Branch 1 starts with $9,000,000. In phase A, 20 percent of Branch 1's funds are moved to Branch 2. In phase B, 25 percent of Branch 2's new total is moved to Branch 1. In phase C, 10 percent of Branch 1's updated funds are moved to Branch 2.

What is the final reserve balance of Branch 2 at the conclusion of phase C?

$5,850,000
$6,765,000
$7,800,000
$8,235,000
$6,750,000

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s funds are moved to Branch $2$. In phase B, $25$ percent of Branch $2

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s new total is moved to Branch $1$. In phase C, $10$ percent of Branch $1

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s updated funds are moved to Branch $2$.\n\nWhat is the final reserve balance of Branch $2$ at the conclusion of phase C?","options":["$\\$5{,}850{,}000$","$\\$6{,}765{,}000$","$\\$7{,}800{,}000$","$\\$8{,}235{,}000$","$\\$6{,}750{,}000$"],"toolbox":["two-variable-invariant"],"format":"Problem Solving","id":"GMAT-TBX7-1043","stimulus":"A central bank adjusts monetary reserves between Branch $1$ and Branch $2$, preserving an aggregate currency total of $\\$15{,}000{,}000$. Branch $1$ starts with $\\$9{,}000{,}000$. In phase A, $20$ percent of Branch $1

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s funds are moved to Branch $2$. In phase B, $25$ percent of Branch $2

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s new total is moved to Branch $1$. In phase C, $10$ percent of Branch $1

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s updated funds are moved to Branch $2$.","question_stem":"What is the final reserve balance of Branch $2$ at the conclusion of phase C?","tags":["free-tier","gmat","very-hard"],"omni":{"metadata":{"primary_ui_layout":"passage_box","inferred_domain":"GMAT Quantitative â€” Algebra","migration_source":"tbx7-1770-sequential-conditional-np-leftover-floor200"},"payload":{"narrative_context":["A central bank adjusts monetary reserves between Branch $1$ and Branch $2$, preserving an aggregate currency total of $\\$15{,}000{,}000$. Branch $1$ starts with $\\$9{,}000{,}000$. In phase A, $20$ percent of Branch $1

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s funds are moved to Branch $2$. In phase B, $25$ percent of Branch $2

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s new total is moved to Branch $1$. In phase C, $10$ percent of Branch $1

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s updated funds are moved to Branch $2$."],"clinical_or_technical_specs":[],"logical_parameters":[],"exhibits":[],"core_task":"What is the final reserve balance of Branch $2$ at the conclusion of phase C?"}},"irt":{"a":1,"b":0.8,"c":0.2,"calibration":"label-bootstrap-tbx7-1770","calibratedAt":"2026-10-05T04:08:25.472Z"},"eliteTargetBand":"755","conceptIds":[],"publicSeo":true,"seoSlug":"what-is-the-final-reserve-balance-of-branch-at-the-conclusio-1djbc0"}

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What is the final reserve balance of Branch 2 at the conclusion of phase C?

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