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Exercises · Q5

Q.The LRR is 25% and Bank A receives a fresh deposit of ₹8,000. Show the first three rounds of credit creation and find the total credit created by the banking system.

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Round-by-round table (LRR = 25%):

RoundBankDeposit (₹)Reserve kept (25%) (₹)Loan made (₹)
1A8,0002,0006,000
2B6,0001,5004,500
3C4,5001,1253,375

The process continues, each round's deposit being 75% of the previous round's, until the additional deposit becomes negligible.

Direct-formula check: k=10.25=4k=\dfrac{1}{0.25}=4; Total credit =8,000×4=₹32,000=8{,}000\times4=₹32{,}000.

The geometric-series sum 8,0001−0.75=8,0000.25=₹32,000\dfrac{8{,}000}{1-0.75}=\dfrac{8{,}000}{0.25}=₹32{,}000 confirms the same figure by an independent method.

✓Final answer

Total credit created = ₹32,000.

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