Compute 32% of (3/8) of 5000. What is the value?

Introduction / Context:
Nested percentage and fraction problems are best handled stepwise. First take the fractional part, then the percentage of the result (or multiply the factors together first, if convenient).

Given Data / Assumptions:

• Total = 5000.
• Fraction = 3/8.
• Percentage = 32% = 0.32.

Concept / Approach:
Either compute 5000 * (3/8) = 1875, then take 32% of 1875, or multiply factors: 5000 * 3/8 * 0.32. Both methods yield the same exact result.

Step-by-Step Solution:
(3/8) of 5000 = 5000 * 3/8 = 187532% of 1875 = 0.32 * 1875 = 600

Verification / Alternative check:
Combined factor: 3/8 = 0.375; 0.375 * 0.32 = 0.12; 0.12 * 5000 = 600. Same result.

Why Other Options Are Wrong:
606, 610, 580, 640 are near misses from rounding or arithmetic slips; the exact arithmetic gives 600.

Common Pitfalls:
Using 0.28 instead of 0.32, or taking 32% of 5000 first and then 3/8 incorrectly. Order does not matter if multiplication is exact, but inputs must be correct.

Final Answer:
600