A banker paid Rs.5767.50 for a bill of Rs.5840, drawn on April 4, at 6 months. On what day was the bill discounted, the rate of interest being 7%?
OPtion
1) 2 August
2) 9 August
3) 4 August
4) 8 August
5) 6 August
6) 7 August
7) 1 August
8) 3 August
9) 5 August
10)None of these
Solution
B.D. = Rs.(5840 - 5767.20) = Rs.72.80
=> Rs.72.80 is S.I. on Rs.5840 at 7%
So unexpired time = 100*72.80 / 7*5840 years = 13/73 = 65 days
Now, date of draw of bill = April, 4 at 6 months
Nominally due date = October, 4
Legally due date = October, 7
So, we must go back 65 days from October, 7
Oct. Sept. Aug.
7+ 30+ 28
i.e., The bill was discounted on 3rd August.