Multiple choice

A landowner increased the length and the breadth of a rectangular plot by 20% and 30% respectively. Find the percentage change in the cost of the plot assuming land prices are uniform throughout his plot.

  1. 23%

  2. 52%

  3. 56%

  4. 44%

  5. 48%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area = L * B. New Area = 1.2L * 1.3B = 1.56 * L * B. The area increases by 56%.

AI explanation

The cost of the land is directly proportional to its area, so you can use the successive percentage change formula (a + b + (ab / 100)) to find the change in area. Substituting a = 20 and b = 30 gives 20 + 30 + ((20 * 30) / 100), which equals 50 + 6. This results in a 56% increase in the total cost of the plot.

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