Question:
Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is
Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is
Updated On: Jul 30, 2025
- 13600
- 13000
- 13400
- 14000
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The Correct Option is B
Solution and Explanation
To determine the total number of shirts produced in the factory, we start by denoting this number as \( x \).
The problem gives us the following information:
- 15% of the shirts are defective.
- 20% of the remaining shirts are sold in the domestic market.
- The remaining 8840 shirts are left for export.
Let's solve the problem step-by-step:
- Calculate the total defective shirts:
Defective shirts = \( 0.15x \) - Determine the shirts that are not defective:
Non-defective shirts = \( x - 0.15x = 0.85x \) - From these non-defective shirts, 20% are sold domestically:
Domestic market shirts = \( 0.20 \times 0.85x = 0.17x \) - The remaining shirts are for export:
Export shirts = \( 0.85x - 0.17x \)
Export shirts = \( 0.68x \)
We know these shirts are 8840, so:
\( 0.68x = 8840 \) - Solve for \( x \):
\( x = \frac{8840}{0.68} \)
\( x = 13000 \)
Therefore, the total number of shirts produced in the factory is 13000.
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