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A bill of Rs. 20000 is due in 1 year. If the bankers' discount is Rs. 1600, what
A bill of Rs. 20000 is due in 1 year. If the bankers' discount is Rs. 1600, what is the effective rate of interest?
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Q1
A bill of Rs. 20000 is due in 1 year. If the bankers' discount is Rs. 1600, what is the effective rate of interest?
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Effective Rate = (BD × 100) / (Face Value × Time) = (1600 × 100) / (20000 × 1) = 8%.
Questions & Step-by-step Solutions
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Q
Q: A bill of Rs. 20000 is due in 1 year. If the bankers' discount is Rs. 1600, what is the effective rate of interest?
Solution:
Effective Rate = (BD × 100) / (Face Value × Time) = (1600 × 100) / (20000 × 1) = 8%.
Steps: 7
Show Steps
Step 1: Identify the given values. The face value of the bill is Rs. 20000, the bankers' discount (BD) is Rs. 1600, and the time is 1 year.
Step 2: Use the formula for effective rate of interest: Effective Rate = (BD × 100) / (Face Value × Time).
Step 3: Substitute the values into the formula: Effective Rate = (1600 × 100) / (20000 × 1).
Step 4: Calculate the denominator: 20000 × 1 = 20000.
Step 5: Calculate the numerator: 1600 × 100 = 160000.
Step 6: Divide the numerator by the denominator: 160000 / 20000 = 8.
Step 7: The effective rate of interest is 8%.
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