Polly Flynn borrowed $5,000 for 60 days at 7%. On day 20 Polly made a $2,000 partial payment ( assume ordinary interest). What is her final payment? How much did she save by making the partial payment?
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Amount borrowed = $5,000
Interest upto 20 days = $5,000 * 7% * 20 days / 360 days = $19.4444
Total amount at the time of partial payment = $5,000 + $19.4444 = $5,019.4444
Balance after partial payment = $5,019.4444 - $2,000 = $3,019.4444
Interest for 40 days = Balance after partial payment * 7% *40 days / 360 days
= $3,019.4444 * 7% * 40 /360
= $23.4846
Amount to be repaid = $3,019.4444 + $23.4846 = $3,042.929
Therefore, amount to be repaid is $3,042.93
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Interest without partial payment = $5,000 * 7% * 60 days / 360 days = $58.3333
Total payment = $5,000 + $58.3333 = $5,058.33
Amount saved = $5,058.33 - $3,042.93 - $2,000 = $15.40
Therefore, amount saved due to partial payment is $15.40
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