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Question
A bill of ₹ 18,000 was discounted for ₹ 17,568 at a bank on 25th October 2017. If the rate of interest was 12% p.a., what is the legal due date?
Solution:
Given SD = ₹18,000, CV = ₹17,568
r = 12% p.a.
Now, BD = `square`
= 18,000 − 17,568
= ₹ 432
Also, BD = `square`
∴ `432 = (18,000 xx n xx 12)/100`
`n = (432 xx 100)/(18,000 xx 12)`
`n = 1/5` years = `square` days
The period for which the discount is deducted is 73 days, which is counted from the date of discounting, i.e., 25th October 2017:
October | November | December | January | Total |
6 | 30 | 31 | 6 | 73 |
Hence, legal due date is `square`
Solution
Given SD = ₹18,000, CV = ₹17,568
r = 12% p.a.
Now, BD = S.D − C.V
BD = 18,000 − 17,568
BD = ₹ 432
Also, BD = ₹ 432
∴ `432 = (18,000 xx n xx 12)/100`
`n = (432 xx 100)/(18,000 xx 12)`
`n = 1/5` years = 73 days
The period for which the discount is deducted is 73 days, which is counted from the date of discounting, i.e., 25th October 2017:
October | November | December | January | Total |
6 | 30 | 31 | 6 | 73 |
Hence, legal due date is 6 January 2018.