Percentage Increase and Decrease Worksheet
The method (Start value is 100%): New value after a rise of p%: value + p% of value. After a fall: value − p% of value. Percent change = change ÷ starting value × 100. Two changes a% and b% one after the other: a + b + (a × b) ÷ 100, with a fall counted as minus.
NameDateTime takenScore ___ / 40
- 1.A town has 4320 people. Its population grows by 40%. How many people live there now?
- 2.A water tank holds 4260 litres. 30% of the water is used. How many litres are left?
- 3.The price of a school bag changes from ₹800 to ₹1120. By what percent did it go up?
- 4.The price of a school bag changes from ₹300 to ₹255. By what percent did it come down?
- 5.A price goes up by 30% and then comes down by 20%. By what percent has it gone up in all? =
- 6.A town has 1340 people. Its population grows by 25%. How many people live there now?
- 7.A shop sells 4960 cups of tea a month. Next month it sells 20% more. How many cups does it sell next month?
- 8.A price comes down by 25% and then comes down by 40% more. By what percent has it come down in all? =
- 9.A town has 940 people. Its population grows by 40%. How many people live there now?
- 10.A price comes down by 15% and then comes down by 30% more. By what percent has it come down in all? =
- 11.A town has 820 people. Its population grows by 30%. How many people live there now?
- 12.The price of a school bag changes from ₹3540 to ₹2478. By what percent did it come down?
- 13.The price of a school bag changes from ₹2040 to ₹1224. By what percent did it come down?
- 14.A water tank holds 1020 litres. 40% of the water is used. How many litres are left?
- 15.The price of a school bag changes from ₹4940 to ₹4446. By what percent did it come down?
- 16.A price goes up by 50% and then goes up by 5% more. By what percent has it gone up in all? =
- 17.The price of a bicycle is ₹4400. It goes up by 40%. What is the new price (in ₹)?
- 18.A water tank holds 1200 litres. 40% of the water is used. How many litres are left?
- 19.The price of a school bag changes from ₹2320 to ₹2900. By what percent did it go up?
- 20.A water tank holds 1420 litres. 25% of the water is used. How many litres are left?
- 21.A water tank holds 2080 litres. 10% of the water is used. How many litres are left?
- 22.A price goes up by 25% and then goes up by 50% more. By what percent has it gone up in all? =
- 23.The price of a bicycle is ₹740. It goes up by 25%. What is the new price (in ₹)?
- 24.A price goes up by 50% and then goes up by 15% more. By what percent has it gone up in all? =
- 25.A town has 4620 people. Its population grows by 5%. How many people live there now?
- 26.A price goes up by 10% and then goes up by 15% more. By what percent has it gone up in all? =
- 27.A price goes up by 15% and then goes up by 10% more. By what percent has it gone up in all? =
- 28.A shop sells 1980 cups of tea a month. Next month it sells 20% more. How many cups does it sell next month?
- 29.A water tank holds 3820 litres. 40% of the water is used. How many litres are left?
- 30.The price of a school bag changes from ₹3700 to ₹3145. By what percent did it come down?
- 31.A price comes down by 50% and then comes down by 5% more. By what percent has it come down in all? =
- 32.The price of a bicycle is ₹2680. It goes up by 10%. What is the new price (in ₹)?
- 33.The price of a bicycle is ₹2100. It goes up by 15%. What is the new price (in ₹)?
- 34.The price of a school bag changes from ₹2060 to ₹3090. By what percent did it go up?
- 35.A price comes down by 50% and then comes down by 20% more. By what percent has it come down in all? =
- 36.The price of a school bag changes from ₹840 to ₹882. By what percent did it go up?
- 37.A price goes up by 10% and then goes up by 50% more. By what percent has it gone up in all? =
- 38.The price of a bicycle is ₹3500. It goes up by 40%. What is the new price (in ₹)?
- 39.A price comes down by 5% and then comes down by 50% more. By what percent has it come down in all? =
- 40.A town has 4200 people. Its population grows by 15%. How many people live there now?
Answer key
- 6048
- 2982
- 40
- 15
- 4
- 1675
- 5952
- 55
- 1316
- 40.5
- 1066
- 30
- 40
- 612
- 10
- 57.5
- 6160
- 720
- 25
- 1065
- 1872
- 87.5
- 925
- 72.5
- 4851
- 26.5
- 26.5
- 2376
- 2292
- 15
- 52.5
- 2948
- 2415
- 50
- 60
- 5
- 65
- 4900
- 52.5
- 4830
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