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

• A. 13600
• B. 13000
• C. 13400
• D. 14000

Answer 1

The Correct Option is B

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:

1. Calculate the total defective shirts:
   Defective shirts = \( 0.15x \)
2. Determine the shirts that are not defective:
   Non-defective shirts = \( x - 0.15x = 0.85x \)
3. From these non-defective shirts, 20% are sold domestically:
   Domestic market shirts = \( 0.20 \times 0.85x = 0.17x \)
4. The remaining shirts are for export:
   Export shirts = \( 0.85x - 0.17x \)
   Export shirts = \( 0.68x \)
   We know these shirts are 8840, so:
   \( 0.68x = 8840 \)
5. Solve for \( x \):
   \( x = \frac{8840}{0.68} \)
   \( x = 13000 \)

Therefore, the total number of shirts produced in the factory is 13000.