Data Interpretation Ques 231

Question-

Directions : Refer to the pie-chart and the table and answer the gie-chart and the

Distribution of total number of shirts (linen and cotton) sold by 6 different stores in 2003

Total number of shirts sold : $\mathbf{8 4 , 0 0 0}$

Stores Respective ratio of number of linen shirts to
cotton shirts
A $7: 5$
B $5: 6$
C $3: 2$
D $5: 3$
E $4: 3$
F $7: 3$

What is the difference between average number of linen shirts sold by stores $D$ and $E$ together and average number of cotton shirts sold by the same stores together?

(1) 2920

(2) 2880

(3) 2940

(4) 3140

(5) 3060

Show Answer

Correct Answer: (3)

Solution: (3)

Number of linen shirts sold by stores $D$ and $E$

$=(\frac{84000 \times 12}{100} \times \frac{5}{8})+(84000 \times \frac{28}{100} \times \frac{4}{7})$

$=6300+13440=19740$

Number of cotton shirts sold by these stores

$=84000 \times \frac{12}{100} \times \frac{3}{8}+84000 \times \frac{28}{100} \times \frac{3}{7}$

$=3780+10080=13860$

$\therefore$ Required difference $=\frac{1}{2}(19740-13860)$

$=\frac{5880}{2}=2940$



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