Worked Examples · Example 1
Q.The Legal Reserve Ratio (LRR) fixed by the RBI is 20% and a bank receives a fresh primary deposit of ₹10,000. Calculate
(i) the credit multiplier and
(ii) the total credit (total deposits) the banking system can create.
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✓ Free question
Given: LRR , Initial (primary) deposit .
Method 1 — Direct formula
Credit multiplier:
Total credit created
Method 2 — Round-by-round verification (geometric series)
| Round | Deposit (₹) | Reserve (20%) (₹) | Loan (₹) |
|---|---|---|---|
| 1 | 10,000 | 2,000 | 8,000 |
| 2 | 8,000 | 1,600 | 6,400 |
| 3 | 6,400 | 1,280 | 5,120 |
| ... | ... | ... | ... |
Each round's deposit is 80% of the previous one, so the total of the infinite series is — exactly matching Method 1. Both methods agreeing confirms the answer.
✓Final answer
Credit multiplier = 5; Total credit created = ₹50,000.
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