Arithmetic

Mixture & Alligation

Medium

applied

400 g of apple vinegar has 40% apple juice in it. The amount of apple juice, which should be added to make it 60% in apple vinegar, is:

100 g

200 g

150 g

170 g

✅ Correct Option: 2

The mixture contains 400 g of apple vinegar with 40% apple juice.

Current apple juice in the mixture:

Apple juice $= \dfrac{40}{100} \times 400$

Apple juice $= 160$ g

Let $x$ grams of apple juice be added to the mixture.

After adding $x$ grams of pure apple juice:

Total apple juice $= 160 + x$ grams

Total mixture $= 400 + x$ grams

The final mixture should contain 60% apple juice:

$\dfrac{160 + x}{400 + x} = \dfrac{60}{100}$

$(160 + x) \times 100 = 60 \times (400 + x)$

$16000 + 100x = 24000 + 60x$

$100x - 60x = 24000 - 16000$

$40x = 8000$

$x = \dfrac{8000}{40}$

$x = 200$ g

Therefore, 200 g of apple juice should be added to make the mixture 60% apple juice.

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Solution

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