A shopkeeper with an overdraft facility at 18 percent with a bank borrowed ` 15000 on Jan 8, 2011 and returned the money on June 3, 2011 so as to clear the debt. The amount that he paid was
Question
A shopkeeper with an overdraft facility at 18 percent with a bank borrowed ` 15000 on Jan 8, 2011 and returned the money on June 3, 2011 so as to clear the debt. The amount that he paid was
Solution
To calculate the amount the shopkeeper paid, we need to calculate the interest on the overdraft for the period from January 8, 2011 to June 3, 2011.
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First, determine the length of the borrowing period. From January 8 to June 3 is approximately 5 months (or more precisely, 146 days).
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The interest rate is 18 percent per annum. To find the daily interest rate, divide this by 365 (the number of days in a year): 18/365 = 0.049315068493150684% per day.
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Multiply the daily interest rate by the number of days the money was borrowed to find the total interest: 0.049315068493150684% * 146 days = 7.193835616438356%.
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Multiply the principal amount (
15000) by the total interest to find the interest amount: 15000 * 7.193835616438356/100 =1079.0753424657534. -
Add the interest amount to the principal to find the total amount repaid:
15000 +1079.0753424657534 = `16079.0753424657534.
So, the shopkeeper paid approximately `16079.08 to clear the debt. Please note that this is an approximation as the exact number of days in the borrowing period and the method of interest calculation (simple or compound) can affect the final amount.
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