Data Interpretation Ques 321
Directions : Refer to the pie charts and answer the given questions.
Distribution of number of bags (of domestic and international brands) sold by 5 stores in 2010 : Total number : 2700

Distribution of number of bags of international brands sold by 5 stores in 2010
Total number : 1200

What is the central angle corresponding to number of bags of international brands sold by store C? (in degrees)
(1) 78.2
(2) 86.4
(3) 93.2%
(4) 84.8
(5) 89.2
Show Answer
Correct Answer: 321.(2)
Solution: (2) Corresponding percentage for store $C=24 \%$
$\because \quad 100 \% \equiv 360^{\circ}$
$\therefore 24 \% \equiv \frac{24}{100} \times 360=86.4^{\circ}$
Calculations (714–719) :
$\because 30%$ of all male customers $=48$
$\therefore \quad$ All male customers must wear a seatbelt
$=\frac{48}{30} \times 100=160$
$\therefore \quad$ Number of female customers
$=\frac{9}{4} \times 160=360$
For male customers :
Only macaroons $\Rightarrow \frac{160}{5}=32$
Only cupcakes $\Rightarrow \frac{3}{16} \times 160=30$
Only brownies $\Rightarrow 48$
All three cakes $\Rightarrow 8$
Only (macaroon and cupcakes + cupcakes and brownies + brownies and macaroons)
$=160-118=42$
$\Rightarrow a+a+a-6=42$
$\Rightarrow 3 a=42+6=48$
$\Rightarrow a=\frac{48}{3}=16$
$\therefore$ Only macaroons and cupcakes $\Rightarrow 16$
Only cupcakes and brownies
$\Rightarrow 16$
Only brownies and macaroons $\Rightarrow 10$
For female customers :
Only macaroons $\Rightarrow \frac{1}{8} \times 360=45$
Only brownies $\Rightarrow \frac{3}{8} \times 360=135$
Only macaroons and cupcakes
$$ \Rightarrow \frac{360}{10}=36 $$
Only cupcakes and brownies
$$ \Rightarrow \frac{360}{20}=18 $$
Only cupcakes $\Rightarrow 2 \times 45=90$
Only macaroons and brownies $\Rightarrow 16$
All three cakes $=360-340=20$