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 1760 people. Its population grows by 15%. How many people live there now?
- 2.The price of a school bag changes from ₹1500 to ₹1800. By what percent did it go up?
- 3.A town has 3700 people. Its population grows by 10%. How many people live there now?
- 4.The price of a school bag changes from ₹3160 to ₹2844. By what percent did it come down?
- 5.The price of a school bag changes from ₹1880 to ₹1316. By what percent did it come down?
- 6.A water tank holds 980 litres. 20% of the water is used. How many litres are left?
- 7.A price goes up by 5% and then goes up by 5% more. By what percent has it gone up in all? =
- 8.The price of a school bag changes from ₹3020 to ₹2114. By what percent did it come down?
- 9.A price goes up by 50% and then comes down by 10%. By what percent has it gone up in all? =
- 10.The price of a school bag changes from ₹3980 to ₹4179. By what percent did it go up?
- 11.A price comes down by 30% and then comes down by 10% more. By what percent has it come down in all? =
- 12.A shop sells 3500 cups of tea a month. Next month it sells 50% more. How many cups does it sell next month?
- 13.A water tank holds 3380 litres. 25% of the water is used. How many litres are left?
- 14.The price of a school bag changes from ₹960 to ₹1056. By what percent did it go up?
- 15.The price of a bicycle is ₹1460. It goes up by 5%. What is the new price (in ₹)?
- 16.A price goes up by 50% and then comes down by 25%. By what percent has it gone up in all? =
- 17.The price of a school bag changes from ₹3560 to ₹2848. By what percent did it come down?
- 18.The price of a school bag changes from ₹960 to ₹672. By what percent did it come down?
- 19.The price of a school bag changes from ₹3320 to ₹4980. By what percent did it go up?
- 20.A price comes down by 5% and then comes down by 20% more. By what percent has it come down in all? =
- 21.The price of a bicycle is ₹1220. It goes up by 15%. What is the new price (in ₹)?
- 22.The price of a school bag changes from ₹2240 to ₹3360. By what percent did it go up?
- 23.A price goes up by 20% and then goes up by 15% more. By what percent has it gone up in all? =
- 24.The price of a bicycle is ₹580. It goes up by 25%. What is the new price (in ₹)?
- 25.A price goes up by 40% and then goes up by 15% more. By what percent has it gone up in all? =
- 26.A town has 720 people. Its population grows by 25%. How many people live there now?
- 27.A town has 3140 people. Its population grows by 25%. How many people live there now?
- 28.The price of a school bag changes from ₹580 to ₹348. By what percent did it come down?
- 29.A water tank holds 1460 litres. 40% of the water is used. How many litres are left?
- 30.A water tank holds 520 litres. 30% of the water is used. How many litres are left?
- 31.A water tank holds 920 litres. 10% of the water is used. How many litres are left?
- 32.A water tank holds 480 litres. 20% of the water is used. How many litres are left?
- 33.The price of a school bag changes from ₹1020 to ₹765. By what percent did it come down?
- 34.A water tank holds 3600 litres. 30% of the water is used. How many litres are left?
- 35.A shop sells 4080 cups of tea a month. Next month it sells 40% more. How many cups does it sell next month?
- 36.A price comes down by 15% and then comes down by 20% more. By what percent has it come down in all? =
- 37.A water tank holds 4300 litres. 5% of the water is used. How many litres are left?
- 38.A town has 1400 people. Its population grows by 5%. How many people live there now?
- 39.A town has 2040 people. Its population grows by 40%. How many people live there now?
- 40.A price goes up by 10% and then goes up by 20% more. By what percent has it gone up in all? =
Answer key
- 2024
- 20
- 4070
- 10
- 30
- 784
- 10.25
- 30
- 35
- 5
- 37
- 5250
- 2535
- 10
- 1533
- 12.5
- 20
- 30
- 50
- 24
- 1403
- 50
- 38
- 725
- 61
- 900
- 3925
- 40
- 876
- 364
- 828
- 384
- 25
- 2520
- 5712
- 32
- 4085
- 1470
- 2856
- 32
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