Data Interpretation Ques 148

Directions : To answer the questions given below, study the following pie-chart and the table carefully.

Total production of nylon and cotton clothes by 6 companies $A$, $B$, $C$, $D$, $E$ and $F$ in the year $2013=84000$

Percentage-wise Distribution

Company Ratio of nylon
and cotton clothes
A $7: 5$
B $5: 7$
C $5: 2$
D $5: 3$
E $4: 3$
F $9: 5$

The difference between the average number of cotton clothes manufactured by companies $A$, $C$ and $E$ and that of cotton clothes manufactured by companies $B, D$ and $F$ is

(1) 35

(2) 38

(3) 40

(4) 42

(5) 45

Show Answer

Correct Answer: (2)

Solution: (2)

Manufactured cotton clothes :

Company A

$\Rightarrow 8400 \times \frac{16}{100} \times \frac{5}{12}=560$

Company C

$\Rightarrow 8400 \times \frac{8}{100} \times \frac{2}{7}=192$

Company E

$\Rightarrow 8400 \times \frac{28}{100} \times \frac{3}{7}=1008$

Average production $=\frac{560+192+1008}{3}$ $=\frac{1760}{3} \approx 587$

Company B

$\Rightarrow 8400 \times \frac{22}{100} \times \frac{7}{12}=1078$

Company D

$\Rightarrow 8400 \times \frac{12}{100} \times \frac{3}{8}=378$

Company F

$\Rightarrow 8400 \times \frac{14}{100} \times \frac{5}{14}=420$

Average production $= \frac{1078+378+420}{3}$ $=\frac{1876}{3} \approx 625$

Difference $=625-587=38$



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