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CAT 2022 Slot 1 Paper

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Question : 59 of 66

Marks: +1, -0

A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugarsyrup in the ratio $1 : 3$ , then the ratio of lemon juice and sugar syrup in the new mixture is

$1:4$
$1:5$
$1:6$
$1:7$

Solution:

\text{Lemon juice : sugar syrup}

in the mixture is

1: 1

, i.e.

50\%

Lemon juice and

50\%

sugar syrup.

In sugar syrup,

100\%

is sugar syrup.

These two are mixed in the ratio 1:3.

Lemon juice

=\frac{1(50\%)}{1+3}

Sugar syrup

=\frac{1(50\%)+3(100\%)}{1+3}=\;\frac{350}{4}

Required ratio

=50: 350=1: 7

The answer is option D.

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