Numerical Ability - Simplification & Approximation
A number is first increased by 20% and then decreased by 20%. If the original number is 200, what is the final value?
A number is first increased by 20% and then decreased by 20%. If the original number is 200, what is the final value?
hard Q9 of 15
Step-by-Step Solution
Step 1: Apply first increase
After +20%: 200 × 1.2 = 240.Step 2: Apply subsequent decrease
After −20%: 240 × 0.8 = 192.Final Answer:
192 → Option C.Quick Check:
Net effect = ×1.2×0.8 = ×0.96 → 200 × 0.96 = 192 ✅
Quick Trick: Multiply successive change factors directly (e.g., 1.2 × 0.8).
Common Mistakes:
- Assuming +20% and −20% cancel out to the original value.
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