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In a factory there are three types of bulbs L1, L2 and L3 which produces 20%, 15% and 32% of the total products respectively. L1, L2 and L3 produces 3%, 7% and 2% defective products, respectively. Find the percentage of non-defective products ?
- a)46%
- b)30%
- c)53%
- d)64%
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
In a factory there are three types of bulbs L1, L2 and L3 which produc...
(20*0.97)+(15*0.93)+(32*0.98) = 19.4+13.95+31.36
= 64.71
= 64.71
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Community Answer
In a factory there are three types of bulbs L1, L2 and L3 which produc...
Understanding the Problem
In this factory, we have three types of bulbs: L1, L2, and L3. Each type contributes differently to the total production, and they also have varying rates of defective products. Our goal is to determine the percentage of non-defective products.
Production Contribution
- L1: 20% of total products
- L2: 15% of total products
- L3: 32% of total products
Note: The percentages add up to 67%, implying there are other bulbs or types contributing the remaining percentage.
Defective Rates
- L1: 3% defective
- L2: 7% defective
- L3: 2% defective
Calculating Defective Products
To find the percentage of non-defective products, we first calculate the defective products from each type of bulb:
1. Defective from L1:
20% * 3% = 0.60%
2. Defective from L2:
15% * 7% = 1.05%
3. Defective from L3:
32% * 2% = 0.64%
Total Defective Products
Now, we sum all the defective products:
0.60% + 1.05% + 0.64% = 2.29%
Finding Non-Defective Products
To find the percentage of non-defective products, we subtract the total defective percentage from 100%:
100% - 2.29% = 97.71%
However, if we consider that the question implies only the combined contribution of L1, L2, and L3 (which sums to 67%), we can recalculate the non-defective for that subset. The percentage of non-defective products specific to the bulbs is:
- Non-defective for L1 = 20% - 0.60% = 19.4%
- Non-defective for L2 = 15% - 1.05% = 13.95%
- Non-defective for L3 = 32% - 0.64% = 31.36%
Total non-defective from L1, L2, L3 = 19.4% + 13.95% + 31.36% = 64.71%
Thus, rounding gives us approximately 64%.
Final Answer
The percentage of non-defective products is 64%, which confirms the correct answer is option 'D'.
In this factory, we have three types of bulbs: L1, L2, and L3. Each type contributes differently to the total production, and they also have varying rates of defective products. Our goal is to determine the percentage of non-defective products.
Production Contribution
- L1: 20% of total products
- L2: 15% of total products
- L3: 32% of total products
Note: The percentages add up to 67%, implying there are other bulbs or types contributing the remaining percentage.
Defective Rates
- L1: 3% defective
- L2: 7% defective
- L3: 2% defective
Calculating Defective Products
To find the percentage of non-defective products, we first calculate the defective products from each type of bulb:
1. Defective from L1:
20% * 3% = 0.60%
2. Defective from L2:
15% * 7% = 1.05%
3. Defective from L3:
32% * 2% = 0.64%
Total Defective Products
Now, we sum all the defective products:
0.60% + 1.05% + 0.64% = 2.29%
Finding Non-Defective Products
To find the percentage of non-defective products, we subtract the total defective percentage from 100%:
100% - 2.29% = 97.71%
However, if we consider that the question implies only the combined contribution of L1, L2, and L3 (which sums to 67%), we can recalculate the non-defective for that subset. The percentage of non-defective products specific to the bulbs is:
- Non-defective for L1 = 20% - 0.60% = 19.4%
- Non-defective for L2 = 15% - 1.05% = 13.95%
- Non-defective for L3 = 32% - 0.64% = 31.36%
Total non-defective from L1, L2, L3 = 19.4% + 13.95% + 31.36% = 64.71%
Thus, rounding gives us approximately 64%.
Final Answer
The percentage of non-defective products is 64%, which confirms the correct answer is option 'D'.
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In a factory there are three types of bulbs L1, L2 and L3 which produces 20%, 15% and 32% of the total products respectively. L1, L2 and L3 produces 3%, 7% and 2% defective products, respectively. Find the percentage of non-defective products ?a)46%b)30%c)53%d)64%Correct answer is option 'D'. Can you explain this answer?
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