Multiple choice

A sum of money is divided amongst A, B, and C in the ratio of $\dfrac { 1 }{ 2 }$ ,$\dfrac { 1 }{ 3 }$ and $\dfrac { 1 }{ 4 }$. A gets Rs. 400 more than B. What is the total amount?

  1. Rs. 1560

  2. Rs. 1890

  3. Rs. 2700

  4. Rs. 2600
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Ratio 1/2 : 1/3 : 1/4 = 6 : 4 : 3. Total parts = 13. A gets 6x, B gets 4x. A - B = 2x = 400, so x = 200. Total = 13x = 2600.

AI explanation

Using the LCM method for fractional ratios, the LCM of the denominators 2, 3, and 4 is 12. Multiplying each fraction by 12 gives the distribution ratio for A, B, and C as 6 : 4 : 3. The difference between the ratio parts of A and B is 6 - 4 = 2 parts, which equals Rs. 400, meaning 1 part equals Rs. 200. The total amount is the sum of the ratio parts (6 + 4 + 3 = 13 parts), so 13 multiplied by 200 gives the total amount as Rs. 2600.

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