Multiple choice

In a mixture of 42 kg. , two type of rice A & B are mixed in a ratio of 4 : 3. If there was removed x kg. from both varieties then ratio becomes 7 : 5 what is the value of x.

  1. 3 kg

  2. 5 kg

  3. 6 kg

  4. 7 kg

  5. 10 kg

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total mixture = 42 kg in ratio 4:3. Initial quantities: A = (4/7) × 42 = 24 kg, B = (3/7) × 42 = 18 kg. After removing x kg from each: (24-x)/(18-x) = 7/5. Cross-multiplying: 5(24-x) = 7(18-x), so 120-5x = 126-7x, which gives 2x = 6, so x = 3 kg. Verifying: (21)/(15) = 7/5 ✓.