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NCERT Solutions for Class 8th Maths Chapter 1 Fractions in Disguise

Updated on 2026-09-08

About this chapter

x% means x out of every 100 , so x% = x/100. A fraction becomes a percentage by multiplying it by 100; a percentage becomes a fraction by writing it over 100. y% of a quantity z is (y/100) × z. Because 100 fits our base-ten system, every percentage also has a neat decimal form — 43% = 43/100 = 0.43 — so the same job can be done by fraction, decimal or proportion. A percentage always answers “a part of which whole?” 35% of 95 g is smaller than 25% of 120 g, so two percentages can only be compared directly when their bases are the same. Percentage increase or decrease is measured against the original amount: (change ÷ original) × 100. An increase of r turns a quantity into (1 + r) times itself, and a decrease turns it into (1 – r) times itself. Profit and loss are percentages of the cost pri

  • Fractions as Percentages
  • Percentage of Some Quantity
  • The FDP Trio: Fractions, Decimals, and Percentages
  • Percentages Greater than 100
  • Using Percentages
  • Profit and Loss
  • Profit, Loss and Discount
  • Taxes
  • Profit, Loss, Discount and Percentage Change
  • Growth and Compounding
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Exercises

  1. In-text Questions — Fractions as Percentages Page 2
  2. In-text Questions — Fractions as Percentages Page 3
  3. Figure it Out — Fractions as Percentages Page 3–4
  4. In-text Questions — Fractions as Percentages Page 4
  5. In-text Questions — Percentage of Some Quantity Page 7
  6. In-text Questions — The FDP Trio: Fractions, Decimals, and Percentages Page 8
  7. In-text Questions — Percentages Greater than 100 Page 11
  8. In-text Questions — Percentages Greater than 100 Page 12
  9. Figure it Out — Percentage of Some Quantity Page 12–14
  10. In-text Questions — Using Percentages Page 15
  11. In-text Questions — Profit and Loss Page 17
  12. In-text Questions — Profit, Loss and Discount Page 18
  13. In-text Questions — Taxes Page 19
  14. Figure it Out — Profit, Loss, Discount and Percentage Change Page 19–20
  15. Figure it Out — Growth and Compounding Page 22–24
  16. In-text Questions — Growth and Compounding Page 24
  17. In-text Questions — Tricky Percentages: Would You Rather? Page 25
  18. In-text Questions — Tricky Percentages Page 26
  19. In-text Questions — A Mishap Page 27
  20. Figure it Out — Using Percentages Page 28–30
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