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 800 people. Its population grows by 5%. How many people live there now?
- 2.The price of a school bag changes from ₹680 to ₹884. By what percent did it go up?
- 3.The price of a bicycle is ₹1240. It goes up by 30%. What is the new price (in ₹)?
- 4.A shop sells 1620 cups of tea a month. Next month it sells 5% more. How many cups does it sell next month?
- 5.A shop sells 4580 cups of tea a month. Next month it sells 15% more. How many cups does it sell next month?
- 6.The price of a school bag changes from ₹3300 to ₹3795. By what percent did it go up?
- 7.The price of a bicycle is ₹1540. It goes up by 20%. What is the new price (in ₹)?
- 8.A price goes up by 10% and then goes up by 50% more. By what percent has it gone up in all? =
- 9.A price goes up by 30% and then goes up by 10% more. By what percent has it gone up in all? =
- 10.A price goes up by 5% and then goes up by 25% more. By what percent has it gone up in all? =
- 11.A water tank holds 3620 litres. 15% of the water is used. How many litres are left?
- 12.A price goes up by 10% and then goes up by 15% more. By what percent has it gone up in all? =
- 13.A town has 3800 people. Its population grows by 40%. How many people live there now?
- 14.The price of a school bag changes from ₹1320 to ₹1980. By what percent did it go up?
- 15.A water tank holds 2860 litres. 25% of the water is used. How many litres are left?
- 16.A shop sells 1300 cups of tea a month. Next month it sells 10% more. How many cups does it sell next month?
- 17.A town has 2820 people. Its population grows by 40%. How many people live there now?
- 18.A price comes down by 10% and then comes down by 30% more. By what percent has it come down in all? =
- 19.A town has 1100 people. Its population grows by 25%. How many people live there now?
- 20.A water tank holds 2000 litres. 10% of the water is used. How many litres are left?
- 21.The price of a school bag changes from ₹2740 to ₹2877. By what percent did it go up?
- 22.A water tank holds 4340 litres. 30% of the water is used. How many litres are left?
- 23.A water tank holds 3200 litres. 50% of the water is used. How many litres are left?
- 24.A price comes down by 40% and then comes down by 10% more. By what percent has it come down in all? =
- 25.The price of a school bag changes from ₹4040 to ₹5252. By what percent did it go up?
- 26.A price goes up by 50% and then comes down by 25%. By what percent has it gone up in all? =
- 27.The price of a school bag changes from ₹3420 to ₹3249. By what percent did it come down?
- 28.The price of a school bag changes from ₹2000 to ₹1800. By what percent did it come down?
- 29.The price of a school bag changes from ₹1380 to ₹1173. By what percent did it come down?
- 30.A price comes down by 20% and then comes down by 15% more. By what percent has it come down in all? =
- 31.A price goes up by 10% and then goes up by 25% more. By what percent has it gone up in all? =
- 32.A price goes up by 25% and then comes down by 5%. By what percent has it gone up in all? =
- 33.A water tank holds 1700 litres. 5% of the water is used. How many litres are left?
- 34.A price goes up by 25% and then goes up by 30% more. By what percent has it gone up in all? =
- 35.A water tank holds 160 litres. 40% of the water is used. How many litres are left?
- 36.The price of a school bag changes from ₹3220 to ₹2898. By what percent did it come down?
- 37.A price goes up by 25% and then goes up by 15% more. By what percent has it gone up in all? =
- 38.A price goes up by 40% and then goes up by 40% more. By what percent has it gone up in all? =
- 39.The price of a bicycle is ₹1520. It goes up by 15%. What is the new price (in ₹)?
- 40.The price of a bicycle is ₹260. It goes up by 30%. What is the new price (in ₹)?
Answer key
- 840
- 30
- 1612
- 1701
- 5267
- 15
- 1848
- 65
- 43
- 31.25
- 3077
- 26.5
- 5320
- 50
- 2145
- 1430
- 3948
- 37
- 1375
- 1800
- 5
- 3038
- 1600
- 46
- 30
- 12.5
- 5
- 10
- 15
- 32
- 37.5
- 18.75
- 1615
- 62.5
- 96
- 10
- 43.75
- 96
- 1748
- 338
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