The actual amount that should be credited is $757.58.
<u>Solution:</u>
Given that,
2% Discount if paid in 10 days.
1% Discount if paid in 15 days, (but greater that 10 days)
Net due in 60 days.
That is,
will close the acount on days 1-10
will close the acount on days 11-15
And August 8 is Day 15 and falls under the 1% discount rule.
Therefore, we have to divide the partial payment by the complement of the discount rate.
from the balance, and
is due by day 60.
According to given conditions, m+n is equal to 409.
Consider the diagram below.
In the hexagon ABCDEF, let
AB = BC = CD = 3;
DE = EF = FA = 5;
Arc BAF is equal to one-third of the circle's circumference.
Hence, ∠BCF = ∠BEF = 60°;
Similarly, ∠CBE = ∠CFE = 60°;
Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.
∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.
Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.
∴ Δ ABQ is similar to Δ EDQ
Also,
and
On solving these simultaneous equations, we get AD = 360/49
∴ m + n = 409.
To learn more about similarity of triangles, refer to this link:
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