Percent of an integer (approximation): Compute 137% of 12345 and choose the nearest figure.

Introduction / Context:Percent calculations can be decomposed into 100% + 30% + 7% for mental math. 137% of a quantity is 1.37 times the quantity. Estimation to the nearest thousand is sufficient to pick the closest choice here.

Given Data / Assumptions:

• N = 12345
• We need 1.37 * N

Concept / Approach:Break 1.37 into 1 + 0.3 + 0.07. Compute each component and add. Alternatively, multiply directly by 1.37 if comfortable. Then compare with the options to select the closest round figure.

Step-by-Step Solution:

Verification / Alternative check:Direct multiplication: 1.37 * 12345 = 16912.65. Among the given options, 17000 is the nearest (difference ≈ 87), whereas 14300 or 15000 are much farther away.

Why Other Options Are Wrong:

• 15000, 14300, 16000: underestimates compared to 16912.65.
• 1500: off by a factor of ten (confusing percent with per mille).

Common Pitfalls:Mixing up percentage scaling (e.g., using 0.137 instead of 1.37) or dropping a digit during mental multiplication steps.

Final Answer:17000