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A material supplier offers a 2% discount for payment within 10 days, with full payment due in 30 days (2/10 net 30). For a $50,000 material purchase, what is the effective annual interest rate of this discount?

Correct Answer

D) 36.7%

Discount = $50,000 × 0.02 = $1,000. Period = 30 - 10 = 20 days. Rate per period = $1,000 ÷ $49,000 = 2.04%. Annual rate = 2.04% × (365 ÷ 20) = 37.2%, closest to 36.7%.

Answer Options
A
48.2%
B
41.8%
C
24.5%
D
36.7%

Why This Is the Correct Answer

Discount = $50,000 × 0.02 = $1,000. Period = 30 - 10 = 20 days. Rate per period = $1,000 ÷ $49,000 = 2.04%. Annual rate = 2.04% × (365 ÷ 20) = 37.2%, closest to 36.7%.

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