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 3860 people. Its population grows by 5%. How many people live there now?
- 2.The price of a school bag changes from ₹1000 to ₹850. By what percent did it come down?
- 3.A price goes up by 50% and then goes up by 20% more. By what percent has it gone up in all? =
- 4.A price comes down by 10% and then comes down by 25% more. By what percent has it come down in all? =
- 5.A water tank holds 3720 litres. 10% of the water is used. How many litres are left?
- 6.A price goes up by 50% and then goes up by 5% more. By what percent has it gone up in all? =
- 7.A price comes down by 15% and then comes down by 20% more. By what percent has it come down in all? =
- 8.A price goes up by 40% and then goes up by 5% more. By what percent has it gone up in all? =
- 9.The price of a bicycle is ₹1140. It goes up by 30%. What is the new price (in ₹)?
- 10.The price of a school bag changes from ₹1320 to ₹1716. By what percent did it go up?
- 11.A town has 4100 people. Its population grows by 10%. How many people live there now?
- 12.A town has 3900 people. Its population grows by 5%. How many people live there now?
- 13.The price of a school bag changes from ₹2960 to ₹4144. By what percent did it go up?
- 14.A shop sells 2340 cups of tea a month. Next month it sells 25% more. How many cups does it sell next month?
- 15.The price of a bicycle is ₹3920. It goes up by 20%. What is the new price (in ₹)?
- 16.A water tank holds 2560 litres. 15% of the water is used. How many litres are left?
- 17.A price goes up by 15% and then comes down by 10%. By what percent has it gone up in all? =
- 18.A town has 660 people. Its population grows by 30%. How many people live there now?
- 19.A water tank holds 4860 litres. 15% of the water is used. How many litres are left?
- 20.The price of a school bag changes from ₹2520 to ₹2016. By what percent did it come down?
- 21.A price comes down by 50% and then comes down by 15% more. By what percent has it come down in all? =
- 22.A price comes down by 50% and then comes down by 20% more. By what percent has it come down in all? =
- 23.The price of a bicycle is ₹4240. It goes up by 20%. What is the new price (in ₹)?
- 24.A water tank holds 2240 litres. 50% of the water is used. How many litres are left?
- 25.A water tank holds 1820 litres. 20% of the water is used. How many litres are left?
- 26.A town has 3240 people. Its population grows by 20%. How many people live there now?
- 27.A water tank holds 660 litres. 25% of the water is used. How many litres are left?
- 28.A water tank holds 960 litres. 10% of the water is used. How many litres are left?
- 29.The price of a bicycle is ₹4020. It goes up by 30%. What is the new price (in ₹)?
- 30.A water tank holds 3400 litres. 15% of the water is used. How many litres are left?
- 31.The price of a school bag changes from ₹600 to ₹750. By what percent did it go up?
- 32.A price goes up by 15% and then goes up by 20% more. By what percent has it gone up in all? =
- 33.The price of a bicycle is ₹840. It goes up by 25%. What is the new price (in ₹)?
- 34.The price of a bicycle is ₹4800. It goes up by 10%. What is the new price (in ₹)?
- 35.A water tank holds 1260 litres. 5% of the water is used. How many litres are left?
- 36.A water tank holds 1500 litres. 25% of the water is used. How many litres are left?
- 37.A water tank holds 2600 litres. 30% of the water is used. How many litres are left?
- 38.A water tank holds 3040 litres. 5% of the water is used. How many litres are left?
- 39.The price of a school bag changes from ₹1580 to ₹1264. By what percent did it come down?
- 40.The price of a school bag changes from ₹3040 to ₹3192. By what percent did it go up?
Answer key
- 4053
- 15
- 80
- 32.5
- 3348
- 57.5
- 32
- 47
- 1482
- 30
- 4510
- 4095
- 40
- 2925
- 4704
- 2176
- 3.5
- 858
- 4131
- 20
- 57.5
- 60
- 5088
- 1120
- 1456
- 3888
- 495
- 864
- 5226
- 2890
- 25
- 38
- 1050
- 5280
- 1197
- 1125
- 1820
- 2888
- 20
- 5
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