Multiple choice

A plot has to be divided among A , B and C in the ratio 2 : 3 : 5 respectively. If the area of plot received by C is 6000 m2 more than the area of plot received by B, then find the total area of plot received by A and B.

  1. 15000 m2

  2. 30000 m2

  3. 10000 m2

  4. 13000 m2

  5. None of these

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

Ratio A:B:C = 2:3:5. Let parts be 2x, 3x, 5x. C - B = 5x - 3x = 2x = 6000, so x = 3000. A + B = 2x + 3x = 5x = 5 * 3000 = 15000.

AI explanation

Let the areas of the plot for A, B, and C be 2x, 3x, and 5x square meters, respectively. The difference between the areas of C and B is 5x minus 3x, which gives 2x equal to 6000, so x equals 3000. The total area received by A and B is 2x plus 3x, equaling 5x, which is 5 multiplied by 3000, resulting in 15000 square meters.