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 4720 people. Its population grows by 10%. How many people live there now?
- 2.A town has 3900 people. Its population grows by 20%. How many people live there now?
- 3.The price of a bicycle is ₹1780. It goes up by 25%. What is the new price (in ₹)?
- 4.The price of a bicycle is ₹4100. It goes up by 30%. What is the new price (in ₹)?
- 5.A price comes down by 20% and then comes down by 5% more. By what percent has it come down in all? =
- 6.The price of a school bag changes from ₹3280 to ₹2296. By what percent did it come down?
- 7.A shop sells 1920 cups of tea a month. Next month it sells 10% more. How many cups does it sell next month?
- 8.A town has 4840 people. Its population grows by 10%. How many people live there now?
- 9.A shop sells 680 cups of tea a month. Next month it sells 20% more. How many cups does it sell next month?
- 10.The price of a school bag changes from ₹1740 to ₹2175. By what percent did it go up?
- 11.A town has 3180 people. Its population grows by 25%. How many people live there now?
- 12.A water tank holds 2140 litres. 5% of the water is used. How many litres are left?
- 13.The price of a school bag changes from ₹3860 to ₹4439. By what percent did it go up?
- 14.A water tank holds 1180 litres. 5% of the water is used. How many litres are left?
- 15.The price of a school bag changes from ₹3800 to ₹5700. By what percent did it go up?
- 16.The price of a bicycle is ₹2140. It goes up by 50%. What is the new price (in ₹)?
- 17.The price of a school bag changes from ₹3160 to ₹3792. By what percent did it go up?
- 18.A price goes up by 40% and then goes up by 30% more. By what percent has it gone up in all? =
- 19.A town has 80 people. Its population grows by 20%. How many people live there now?
- 20.A town has 1020 people. Its population grows by 10%. How many people live there now?
- 21.A water tank holds 840 litres. 40% of the water is used. How many litres are left?
- 22.A water tank holds 4660 litres. 10% of the water is used. How many litres are left?
- 23.A price comes down by 10% and then comes down by 20% more. By what percent has it come down in all? =
- 24.The price of a school bag changes from ₹1100 to ₹1155. By what percent did it go up?
- 25.The price of a school bag changes from ₹3440 to ₹4128. By what percent did it go up?
- 26.A shop sells 3920 cups of tea a month. Next month it sells 25% more. How many cups does it sell next month?
- 27.A town has 780 people. Its population grows by 10%. How many people live there now?
- 28.The price of a school bag changes from ₹2660 to ₹2261. By what percent did it come down?
- 29.A price goes up by 20% and then goes up by 10% more. By what percent has it gone up in all? =
- 30.A water tank holds 4900 litres. 15% of the water is used. How many litres are left?
- 31.A price goes up by 10% and then goes up by 10% more. By what percent has it gone up in all? =
- 32.The price of a bicycle is ₹4760. It goes up by 15%. What is the new price (in ₹)?
- 33.A water tank holds 2380 litres. 25% of the water is used. How many litres are left?
- 34.A price goes up by 10% and then goes up by 25% more. By what percent has it gone up in all? =
- 35.A price comes down by 40% and then comes down by 25% more. By what percent has it come down in all? =
- 36.The price of a bicycle is ₹860. It goes up by 30%. What is the new price (in ₹)?
- 37.A price goes up by 5% and then goes up by 25% more. By what percent has it gone up in all? =
- 38.A water tank holds 280 litres. 50% of the water is used. How many litres are left?
- 39.A water tank holds 4600 litres. 15% of the water is used. How many litres are left?
- 40.The price of a school bag changes from ₹3820 to ₹4966. By what percent did it go up?
Answer key
- 5192
- 4680
- 2225
- 5330
- 24
- 30
- 2112
- 5324
- 816
- 25
- 3975
- 2033
- 15
- 1121
- 50
- 3210
- 20
- 82
- 96
- 1122
- 504
- 4194
- 28
- 5
- 20
- 4900
- 858
- 15
- 32
- 4165
- 21
- 5474
- 1785
- 37.5
- 55
- 1118
- 31.25
- 140
- 3910
- 30
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