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SSC CGL Tier II 1 Dec 2016 Paper 1

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Question : 22 of 100

Marks: +1, -0

49 kg of blended tea contains Assam and Darjeeling tea in the ratio 5 : 2. Then the quantity of Darjeeling tea to be added to the mixture to make the ratio of Assam to Darjeeling tea 2 : 1 is

4.5 kg
3.5 kg
5 kg
6 kg

Solution:

(2) In 49 kg. of mixture,

Tea of Assam

\Rightarrow \left( \frac{5}{7} \times 49 \right) \text{kg}

= 35 kg.

Tea of Darjeeling ⇒ (49 – 35) kg. = 14 kg.

Let x kg. of Darjeeling tea be added.

\therefore \frac{35}{14+x} = \frac{2}{1}

\Rightarrow 28+2x=35

\Rightarrow 2x=35-28=7

\Rightarrow x = \frac{7}{2} = 3.5 \text{kg}

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