Directions for questions I to 5: These questions are based on the table given along side which shows the number of fan regulators rejected and the percentage of those accepted by the quality control department, out of the total number of fan regulators assembled by five machines P, Q, R, S and T.
1. How many fan regulators assembled by machine R were accepted?
2.Which machine assembled the highest number of regulators?
3.Approximately by what percentage is the number of rejections of regulators assembled by P more than that of R?
4.By what percentage is the number of fan regulators assembled by T more than the total number of fan regulators assembled by P and Q?
5.What is the average number of regulators assembled by machines R and S?
Answers
Given : Data of Fan regulators from different machine
Machine Rejected % acceptance
P 600 90
Q 1000 80
R 550 90
S 840 86
T 1650 85
To Find : ow many fan regulators assembled by machine R. were accepted?
Solution:
Machine Rejected % acceptance % rejection Assembled
P 600 90 100 - 90 = 10 6000
Q 1000 80 100 - 80 = 20 5000
R 550 90 100 - 90 = 10 5500
S 840 86 100 - 86 = 14 6000
T 1650 85 100 - 85 = 15 11000
From machine R 10 % rejected
Rejected = 550
Total Produced = R
(10/100)R = 550
=> R = 5500
Accepted = 5500 - 550 = 4950
4950 fan regulators assembled by machine R. were accepted
Machine T assembled the highest number of regulators
R rejection 550 , P rejection 600
=> ( 50/550) * 100 = 9.1 %
fan regulators assembled by T = fan regulators assembled by P & Q together = 11000
average number of regulators assembled by machines R and S
= ( 5500 + 6000)/2 = 5750
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