SATHEE: Data Interpretation Ques 322

Data Interpretation

Data Interpretation Ques 322

Question-

Directions : Study the following information carefully to answer the questions.

A bakery sells three baked products - macaroons, cupcakes and brownies. On January 1, 2017, the total number of customers who bought products from the bakery was ’ $X$ ‘. The respective ratio between male customers and female customers was $4 : 9$ .
Out of the total number of male customers, $\frac{1}{5}$ th bought only macaroons, $\frac{3}{16}$ th bought only cupcakes and $30 %$ bought only brownies. The number of customers who bought only macaroons and cupcakes both was equal to the number of customers who bought only cupcakes and brownies both. The number of customers who bought only macaroons and brownies was 6 less than the number of customers who bought only macaroons and Cupcakes. 8 customers bought all the three baked products and 48 customers bought only brownies.
Out of the total number of female customers, $\frac{1}{8}$ th bought only macaroons, $\frac{3}{8}$ th bought only brownies. $10 %$ bought only macaroons and cupcakes and $5 %$ bought only cupcakes and brownies. The number of customers who bought only cupcakes was twice the number of customers who bought only macaroons. 16 customers bought only macaroons and brownies and the remaining bought all three baked products.

What is the respective ratio between the total number of male customers who purchased both cupcakes and brownies and the total number of female customers who purchased the same?

(1) $15 : 17$

(2) $14 : 23$

(3) $15 : 19$

(4) $12 : 19$

(5) $12 : 17$

Show Answer

Correct Answer: (4)

Solution: (4)

$∵ 30 %$ of all male customers $= 48$

$∴$ All male customers $= \frac{48}{30} \times 100 = 160$

$∴$ 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 macroons) $= 160 - 118 = 42$

$\Rightarrow a + a + a - 6 = 42$

$\Rightarrow 3 a = 42 + 6 = 48$

$\Rightarrow a = \frac{48}{3} = 16$

$∴$ 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 $= 360 - 340 = 20$

Required ratio $= (16 + 8) : (18 + 20)$ $= 24 : 38 = 12 : 19$

Data Interpretation

Data Interpretation Ques 322

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Data Interpretation

Data Interpretation Ques 322

Table of Contents

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

NCERT Exercise Video Solution

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