Multiple choice

A sum of money is divided into three parts in the ratio 4 : 6 : 9. If the largest share is Rs. 1000 more than the smallest one, then what is the total sum?

  1. Rs. 3000

  2. Rs. 4800

  3. Rs. 4000

  4. Rs. 3800

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

Ratio 4:6:9. Largest share (9x) - smallest share (4x) = 5x = 1000. So x = 200. Total sum = 4x + 6x + 9x = 19x = 19 * 200 = 3800.

AI explanation

The difference between the largest and smallest ratio parts is 9 minus 4, which is 5 units. We are given that this difference is Rs. 1000, so 5 units equals 1000, meaning 1 unit equals 200. The total sum of the parts is 4 plus 6 plus 9, which equals 19 units. Multiplying 19 by 200 gives the total sum of Rs. 3800.

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