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

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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 $=360-340=20$