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CUET · MATHS · PYQ PAPER 2025

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 :

  1. A 100 g
  2. B 200 g
  3. C 150 g
  4. D 170 g
Verified Solution

Answer & Solution

Correct Answer

(B) 200 g

Step-by-step Solution

Detailed explanation

Initial apple juice: \( 0.40 \times 400\text{ g} = 160\text{ g} \) Let \( x \) be apple juice added. \( \frac{160 + x}{400 + x} = 0.60 \) \( 160 + x = 240 + 0.60x \) \( 0.40x = 80 \) \( x = 200\text{ g} \)