TheCATExam
Sign in

CAT 2017 Slot 2 — QA Question 5

PercentageEasy

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

Answer & solution

Correct answer: 13000

  • A

    13600

  • 13000

  • C

    13400

  • D

    14000

Solution

Easy

Peel the percentages off the total one stage at a time. The exporters are what remain after removing 15%15\% defective and then 20%20\% of the rest; set that remainder equal to 88408840.

1

Remove defectives. Let the production be NN. Defective =15%=15\%, so good shirts are 85%85\%.

good=0.85N\begin{aligned} &\text{good}=0.85N \end{aligned}
2

Remove domestic sales. 20%20\% of the good shirts sell domestically, leaving 80%80\% for export.

export=0.80×0.85N=0.68N\begin{aligned} &\text{export}=0.80\times 0.85N=0.68N \end{aligned}
3

Solve. The export count is 88408840.

0.68N=8840⇒ N=88400.68=13000\begin{aligned} &0.68N=8840\\ &\Rightarrow\ N=\frac{8840}{0.68}=13000 \end{aligned}
Shirts produced=13000\text{Shirts produced}=13000

Related Percentage questions

See all Percentage questions →
CAT 2017 Slot 2 QA Q5: Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic mar — Solution | TheCATExam