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18 Feb 2026, 20:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
64% (01:19) correct
36%
(01:25)
wrong
based on 126
sessions
History
Date
Time
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Not Attempted Yet
In a shipment of toys, 40 toys were found defective. However, 20% of the defective toys were not identified. If there were a total of 200 toys in the shipment, what was the percentage of defective toys in the shipment?
A. 20%
B. 24%
C. 25%
D. 30%
E. 40%
A. 20%
B. 24%
C. 25%
D. 30%
E. 40%
18 Feb 2026, 23:55
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If 20% were not identified then 80% were identified which makes the equation 0.8x=40 and so x=50
Therefore total no of defectives=50
Total toys=200
Percentage= 25%
Answer is Option(C)
Therefore total no of defectives=50
Total toys=200
Percentage= 25%
Answer is Option(C)
19 Feb 2026, 02:16
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Key concept: Percent of a part vs. percent of the whole
The classic mistake here: students read "40 toys were found defective" and "20% were not identified," then calculate 20% of 40 = 8 and add it, getting 48. Then 48/200 = 24% and pick B. The issue? Those 40 are already a subset — the identified defectives. The 20% unidentified is a fraction of the total defective count, not of the 40.
Step 1 — Define the variable correctly.
Let x = total number of defective toys.
Step 2 — Translate the key sentence.
"40 toys were found defective. However, 20% of the defective toys were not identified."
→ The identified ones = 80% of all defectives = 40
→ 0.8x = 40
Step 3 — Solve.
x = 40 / 0.8 = 50
Step 4 — Find the percentage.
50 out of 200 total toys = 50/200 = 25%
Answer: C
Takeaway: Whenever a word problem gives you a subset but asks about the whole, always define the unknown as the total and work backwards — don't let the given number anchor you into treating it as the base.
The classic mistake here: students read "40 toys were found defective" and "20% were not identified," then calculate 20% of 40 = 8 and add it, getting 48. Then 48/200 = 24% and pick B. The issue? Those 40 are already a subset — the identified defectives. The 20% unidentified is a fraction of the total defective count, not of the 40.
Step 1 — Define the variable correctly.
Let x = total number of defective toys.
Step 2 — Translate the key sentence.
"40 toys were found defective. However, 20% of the defective toys were not identified."
→ The identified ones = 80% of all defectives = 40
→ 0.8x = 40
Step 3 — Solve.
x = 40 / 0.8 = 50
Step 4 — Find the percentage.
50 out of 200 total toys = 50/200 = 25%
Answer: C
Takeaway: Whenever a word problem gives you a subset but asks about the whole, always define the unknown as the total and work backwards — don't let the given number anchor you into treating it as the base.
