© T Madas Finding the amount before a Percentage Change

© T Madas The value of a painting went up by 25% and is now valued at £400. What was its value before the increase? The answer IS NOT £400 less 25%, WHY? If you increase £300 by 25% you get i.e. £300 £375 Why doesn’t a decrease by 25% get balanced by an increase of 25%? How do we solve a problem like this?

© T Madas Value Before 400 x 1.25 £ ÷ 1.25 The value of a painting went up by 25% and is now valued at £400. What was its value before the increase?

© T Madas An item costs £282 after V.A.T at 17.5%. What is its price before V.A.T? This formal equation set up shows why this method works but it is not strictly required b £240 x ÷ £282

© T Madas An item costs £93.50 after a 15% discount. What did it cost before the discount? b £110 x 0.85 ÷ 0.85 £93.50

© T Madas Find the number which was increased by 12% to give 420. b 375 x 1.12 ÷

© T Madas Find the number which was decreased by 17% to give 415. b 500 x 0.83 ÷

© T Madas Finding the amount before a percentage increase or decrease: Take the final amount and divide it by the appropriate percentage multiplier Find the number that was increased by 30% to give ÷ 1.3 = 400 Find the number that was decreased by 30% to give ÷ 0.7 = 600 Finding the amount after a percentage increase or decrease: Take the original amount and multiply it, by the appropriate percentage multiplier Increase 500 by 15% 500 x 1.15 = 575 Decrease 700 by 11% 700 x 0.89 = 623 Percentage Multiplier Summary

Practice on finding the amount before a Percentage Change using a calculator

© T Madas What number was increased by 10% to give 121? 110 Amounts Before Percentage Changes What number was increased by 15% to give 184? 160 What number was increased by 12% to give 252? 225 What number was increased by 27% to give 406.4? 320 What number was decreased by 10% to give 468? 520 What number was decreased by 25% to give 273? 364 What number was decreased by 40% to give 252? 420 What number was decreased by 11% to give 534? 600

© T Madas What number was increased by 12% to give 140? 125 What number was decreased by 12% to give 484? 550 What number was increased by 17.5% to give 282? 240 What number was decreased by 17.5% to give 660? 800 What number was increased by 5.5% to give 147.7? 140 What number was decreased by 5.5% to give 1701? 1800 What number was increased by 1% to give 343.4? 340 What number was decreased by 1% to give 742.5? 750 Amounts Before Percentage Changes

© T Madas 110% of a number is 121. What is the number? % of a number is 184. What is the number? % of a number is 252. What is the number? % of a number is What is the number? % of a number is 468. What is the number? % of a number is 273. What is the number? % of a number is 252. What is the number? % of a number is 534. What is the number? 600 Amounts Before Percentage Changes

© T Madas 112% of a number is 140. What is the number? % of a number is 484. What is the number? % of a number is 282. What is the number? % of a number is 700. What is the number? % of a number is What is the number? % of a number is What is the number? % of a number is What is the number? % of a number is What is the number? 750 Amounts Before Percentage Changes

© T Madas Test on finding the amount before a Percentage Change using a calculator

© T Madas What number was increased by 10% to give 121? 110 Amounts Before Percentage Changes What number was increased by 15% to give 184? 160 What number was increased by 12% to give 252? 225 What number was increased by 27% to give 406.4? 320 What number was decreased by 10% to give 468? 520 What number was decreased by 25% to give 273? 364 What number was decreased by 40% to give 252? 420 What number was decreased by 11% to give 534? 600

© T Madas What number was increased by 12% to give 140? 125 What number was decreased by 12% to give 484? 550 What number was increased by 17.5% to give 282? 240 What number was decreased by 17.5% to give 660? 800 What number was increased by 5.5% to give 147.7? 140 What number was decreased by 5.5% to give 1701? 1800 What number was increased by 1% to give 343.4? 340 What number was decreased by 1% to give 742.5? 750 Amounts Before Percentage Changes

© T Madas 110% of a number is 121. What is the number? % of a number is 184. What is the number? % of a number is 252. What is the number? % of a number is What is the number? % of a number is 468. What is the number? % of a number is 273. What is the number? % of a number is 252. What is the number? % of a number is 534. What is the number? 600 Amounts Before Percentage Changes

© T Madas 112% of a number is 140. What is the number? % of a number is 484. What is the number? % of a number is 282. What is the number? % of a number is 700. What is the number? % of a number is What is the number? % of a number is What is the number? % of a number is What is the number? % of a number is What is the number? 750 Amounts Before Percentage Changes

© T Madas