IPMAT Rohtak 2020 (QA) - In a factory there are three types of machines b1, b2, and b3 which produces 20%, 15%, and 32% of the total products respectively. Further, machines b1, b2, and b3 which produces 3%, 7%, and 2% defective products respectively. Find the percentage of non-defective products? | PYQs + Solutions | AfterBoards
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IPMAT Rohtak 2020 (QA) PYQs

IPMAT Rohtak 2020

Arithmetic
>
Percentages

Easy

In a factory there are three types of machines b1, b2, and b3 which produces 20%, 15%, and 32% of the total products respectively. Further, machines b1, b2, and b3 which produces 3%, 7%, and 2% defective products respectively. Find the percentage of non-defective products?

Correct Option: 4
b1 produces 2020% of the products. Of these 33% are defective.
Hence, defective machines =3100×20=0.6=\frac{3}{100}\times20=0.6%, and non-defective =(200.6)%=19.4= (20-0.6)\%=19.4%
b2 produces 1515% of the products. Of these, 77% are defective.
Hence, defective machines =7100×15=1.05%=\frac{7}{100}\times15=1.05\%, and non-defective =(151.05)%=13.95=(15-1.05)\%=13.95%
b3 produces 3232% of the products. Of these 22% are defective.
Hence, defective machines =2100×32=0.64%=\frac{2}{100}\times32=0.64\%, and non-defective =(320.64)%=31.36=(32-0.64)\%=31.36%
Hence, percentage of non-defective products =19.4+13.95+31.36=64.71=19.4+13.95+31.36=64.71%, which is approximately 64%64\%

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