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Q.

How many kg of pure salt must be added to 30kg of 2% solution of salt and water to increase it to a 10% solution?

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a

2.445 kg

b

2.133 kg

c

2.435 kg

d

2.667 kg

answer is D.

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Detailed Solution

Concept- We will write an equation that the amount of pure salt and amount of salt in solution of 30kg will be equal to 10% of the total solution amount. Remember that when we add an amount of pure salt in solution then the total amount of solution will be increased.
Given 2% salt in 30kg solution

= 30 kg \times \frac{2}{100} = 0.6 kg

Amount of pure salt added is

x

Total amount of pure salt

= (0.6 + x kg)

x kg

of pure salt added then total amount of pure salt

= (30 + x) kg

According to the question,

(0.6 + x kg) s 10 % of (30 + x) kg

So here we can write:

0.6 = x = \frac{10}{100} \times (30 + x)

0.6 + x = 0.1 (30 + x)

0.6 + x = 3 + 0.1 x

x - 0.1 x = 3 - 0.6

0.9 x = 2.4

x = \frac{2.4}{0.9}

x = 2.667 kg

Hence, the answer is option 4.

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