Multiple choice

Area of an agricultural land decreases by 10% whereas the quantity of crop produced per unit area increases by 20%. What is the percentage increase in the total quantity of crop produced?

  1. 7.5%

  2. 8%

  3. 10%

  4. 12%

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

Total production = Area * Yield. If Area decreases by 10% (0.9) and Yield increases by 20% (1.2), the new production is 0.9 * 1.2 = 1.08 times the original. This represents an 8% increase.

AI explanation

Use a base of 100 for the initial area and the initial crop yield per unit area, making the original total crop quantity 100. The new area becomes 90 and the new yield per unit area becomes 120, resulting in a new total crop quantity of 90 times 120, which is 10800. Comparing this to the original total of 10000 gives an increase of 800, meaning the percentage increase is 800 divided by 10000 times 100, which equals 8 percent.

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