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Worked Examples · Example 1

Q.A bank receives an initial deposit of ₹2,000 and the Cash Reserve Ratio is 25%. Calculate the total deposits (total money) created by the banking system.

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✓ Free question

Given: initial deposit D=₹2,000D = ₹2{,}000; CRR r=25%=0.25r = 25\% = 0.25.

Step 1 — Find the credit multiplier.

Multiplier=1r=10.25=4\text{Multiplier} = \frac{1}{r} = \frac{1}{0.25} = 4

Step 2 — Total deposits created.

Total Deposits=D×1r=2,000×4=₹8,000\text{Total Deposits} = D \times \frac{1}{r} = 2{,}000 \times 4 = ₹8{,}000

Verification (round-by-round sum). Deposits form a geometric series with first term 2,000 and common ratio (1−r)=0.75(1-r) = 0.75: sum =2,000/(1−0.75)=2,000/0.25=₹8,000= 2{,}000 / (1 - 0.75) = 2{,}000 / 0.25 = ₹8{,}000 — matching.

✓Final answer

The banking system creates total deposits of ₹8,000.

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