Multiple choice

A shopkeeper gave his servant two varieties of rice in the ratio 4:3 to make a mixture of 42 kg rice .But while mixing them, he stole certain quantity of rice from both the varities and ended up by mixing in the ratio 7:5.Total how much quantity did he stole?

  1. 6kg

  2. 12kg

  3. 9kg

  4. 8kg

  5. 86kg

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

Initial ratio 4:3 for 42 kg means 24 kg and 18 kg were planned (4x + 3x = 42, x = 6). After stealing, ratio became 7:5. Let actual quantities be 7y and 5y. Assuming servant stole from both varieties equally proportionally, solving gives stolen amount = 6 kg. This is achieved by stealing 3 kg from each variety.