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Fractions in Disguise

Where percentages are used

A bakery plans 400 rolls a day. One day it bakes 500 rolls.

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Marked price: ₹1,200.
Step 1 of 3
  1. Marked price: ₹1,200.
  2. 25% off is ₹300.
  3. Pay 75%: ₹900.

The rule

A marked price is the price on the tag.

Name the whole first. The whole is what you compare with. Then divide the part by the whole, and multiply by 100.

  • A discount: the whole is the marked price on the tag.
  • A mark sheet: the whole is the total marks.
  • A target: the whole is the goal, like the 400 rolls planned.

A percentage passes 100 when the part is bigger than the whole. The bakery baked 500 rolls against a plan of 400. Divide: 500 ÷ 400 = 1.25. Then 1.25 × 100 = 125, so 125%. That is 125% − 100% = 25% more than the plan.

300% of an amount is three times that amount.

Jump to lesson

This track

  1. 0 Start here
  2. 1 A comparison with a hundred underneath
  3. 2 Three names for one amount
  4. 3 Taking a percentage of an amount
  5. 4 One amount said as a percentage of another
  6. 5 Measured against what you started with
  7. 6 An equal rise and fall do not cancel
  8. 7 Comparing two groups of different sizes
  9. 8 Where percentages are used
  10. 9 The big picture
  11. 10 Track quiz

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