CartonNumber of toysPercentage of toys which are defective
A2003%
B3008%
What percentage of the total number of toys in the cartons A and B are defective?

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Worked solution

13

1. Calculate the number of defective toys in Carton A

Number of defective toys in A = 3%×200=3100×200=63\% \times 200 = \frac{3}{100} \times 200 = 6

2. Calculate the number of defective toys in Carton B

Number of defective toys in B = 8%×300=8100×300=248\% \times 300 = \frac{8}{100} \times 300 = 24

3. Calculate the total number of defective toys and total toys

Total defective toys = 6+24=306 + 24 = 30
Total toys = 200+300=500200 + 300 = 500

4. Calculate the overall percentage of defective toys

Overall percentage = 30500×100%=350×100%=6%\frac{30}{500} \times 100\% = \frac{3}{50} \times 100\% = 6\%

Answer

6%6\% (option 3)

AI analysis — may contain mistakes.

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