ASVAB · Interest, Discount, and Markup

How much simple interest does $1,000 earn at 5% annual interest over 3 years?

Correct answer

$150

  1. A $150
  2. B $300
  3. C $100
  4. D $50

Why this is the answer

Simple interest formula: I = P × r × t, where P is principal, r is rate (as decimal), t is time (in years). I = 1000 × 0.05 × 3 = $150. The simple interest formula is straightforward: just multiply principal × rate × time. Watch units: rate must be in the same time unit as time (annual rate with years, monthly rate with months). For ASVAB problems, rates are almost always annual. Compound interest is different and more complex: I = P(1 + r/n)^(nt) - P, where n is compounding periods per year. Most ASVAB interest problems use simple interest. The total amount after interest = principal + interest = $1,000 + $150 = $1,150. The same formula handles: bank interest, loan interest, bond interest. For half-year periods, just adjust t (e.g., 18 months = 1.5 years). Quick mental math: 5% per year for 3 years is approximately 15% total in simple interest; 15% of $1,000 = $150.
Source: ASVAB AR — Simple Interest

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About this topic: Interest, Discount, and Markup

Interest, discount and markup questions use the same percentage machinery: simple interest (principal × rate × time), sale prices after a discount, and selling price after a markup. Watch for two-step problems where the percentage applies to a changed amount. This is one of 9 Arithmetic Reasoning questions on interest, discount, and markup, each with a full explanation on a single study page.

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