Multiple choice

An amount of Rs.420 is divided among A, B and C in the ratio 1/3:5/6: 7/9. Find B's part?

  1. 72

  2. 85

  3. 180

  4. 168

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio A:B:C = 1/3 : 5/6 : 7/9. Multiply by LCD 18: 6 : 15 : 14. Total parts = 6+15+14 = 35. B's share = (15/35) * 420 = (3/7) * 420 = 3 * 60 = 180.

AI explanation

To divide the amount, the ratio parts must be converted to whole numbers by finding the least common multiple of the denominators 3, 6, and 9, which is 18. Multiplying the given ratio by 18 gives the equivalent ratio 6 : 15 : 14. The total number of parts is 6 + 15 + 14, which equals 35. The value of one part is Rs. 420 divided by 35, yielding Rs. 12; multiplying this by B's 15 parts gives Rs. 180.

Keep practicing — related questions