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:

200 g

The correct answer is Option (2) → 200 g **

Amount of mixture = 400 g

Apple-juice content = $40\%$

Apple juice present initially:

$\displaystyle 0.40 \times 400 = 160\ \text{g}$

Let $x$ g of pure apple juice be added.

New total apple juice = $160 + x$

New total mixture = $400 + x$

Required concentration = $60\%$

$\displaystyle \frac{160 + x}{400 + x} = \frac{3}{5}$

Cross-multiply:

$5(160 + x) = 3(400 + x)$

$800 + 5x = 1200 + 3x$

$2x = 400$

$x = 200$

Amount of apple juice to be added = 200 g