Multiple choice

The length and breadth of a rectangle field are increased, the area increased by $50$%. If the length increased by $20$%, by what percentage was breadth increased?

  1. 25%

  2. 30%

  3. 20%

  4. Data in adequate
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Area = L * B. New Area = 1.5 * Area. New Length = 1.2 * L. 1.5 * L * B = 1.2 * L * New_B. New_B = 1.5/1.2 * B = 1.25 * B. The breadth increased by 25%.

AI explanation

Using the successive percentage change formula for area, A = (100 + a)(100 + b)/100, where 50 is the total percentage increase in area and 20 is the percentage increase in length. Setting up the equation gives 150 = (120)(100 + b)/100. Multiplying both sides by 100 and dividing by 120 gives 125 = 100 + b, meaning the breadth was increased by 25%.

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