CAT 2017 Slot 2 QA Question & Solution
ArithmeticEasy
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
Options
13600
13000
13400
14000
Solution
Let the total number of shirts be x.
Hence number of non defective shirts = x - 15% of x = 0.85x
Number
of shirts left for export = No of non defective shirts - number of
shirts sold in domestic market
= No of non defective shirts - 20% of No of non defective shirts
= 80% of No of non defective shirts
Hence 8840 = 0.8 * (0.85x) .
Solving for x we get, x = 13000