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If a water reservoir loses 15% of its water due to evaporation each month, how m

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Question: If a water reservoir loses 15% of its water due to evaporation each month, how much water remains after 3 months if it initially holds 1000 liters?

Options:

  1. 610 liters
  2. 685 liters
  3. 850 liters
  4. 750 liters

Correct Answer: 685 liters

Solution: 

After 1 month: 1000 - (0.15 * 1000) = 850 liters. After 2 months: 850 - (0.15 * 850) = 722.5 liters. After 3 months: 722.5 - (0.15 * 722.5) = 613.125 liters, rounded to 610 liters.

If a water reservoir loses 15% of its water due to evaporation each month, how m

Practice Questions

Q1
If a water reservoir loses 15% of its water due to evaporation each month, how much water remains after 3 months if it initially holds 1000 liters?
  1. 610 liters
  2. 685 liters
  3. 850 liters
  4. 750 liters

Questions & Step-by-Step Solutions

If a water reservoir loses 15% of its water due to evaporation each month, how much water remains after 3 months if it initially holds 1000 liters?
  • Step 1: Start with the initial amount of water in the reservoir, which is 1000 liters.
  • Step 2: Calculate the amount of water lost in the first month due to evaporation. This is 15% of 1000 liters. So, 0.15 * 1000 = 150 liters.
  • Step 3: Subtract the amount lost from the initial amount. 1000 liters - 150 liters = 850 liters remaining after 1 month.
  • Step 4: For the second month, calculate 15% of the remaining water (850 liters). So, 0.15 * 850 = 127.5 liters.
  • Step 5: Subtract this amount from the remaining water. 850 liters - 127.5 liters = 722.5 liters remaining after 2 months.
  • Step 6: For the third month, calculate 15% of the remaining water (722.5 liters). So, 0.15 * 722.5 = 108.375 liters.
  • Step 7: Subtract this amount from the remaining water. 722.5 liters - 108.375 liters = 614.125 liters remaining after 3 months.
  • Step 8: Round the final amount to the nearest whole number. 614.125 liters rounds to 610 liters.
  • Percentage Decrease – Understanding how to calculate a percentage decrease over multiple periods.
  • Compound Reduction – Recognizing that the reduction is applied to the remaining amount, not the original amount.
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