NCERT Solutions for Ganita Prakash (Part 2) Chapter 1 Fractions in Disguise
Updated on 2026-09-05
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
- –4Section 1.1 Fractions as Percentages
- Percentage of Some Quantity
- — The FDP Trio: Fractions, Decimals, and Percentages
- — Percentages Greater than 100
- –14Section 1.2 Percentage of Some Quantity
- Using Percentages
- — Profit and Loss
- — Profit, Loss and Discount
- — Taxes
Exercises
- In-text Questions — Fractions as Percentages Page 2
- In-text Questions — Fractions as Percentages Page 3
- –4Section 1.1 Fractions as Percentages — Figure it Out Page 3
- In-text Questions — Fractions as Percentages Page 4
- In-text Questions — Percentage of Some Quantity Page 7
- In-text Questions — — The FDP Trio: Fractions, Decimals, and Percentages Page 8
- In-text Questions — — Percentages Greater than 100 Page 11
- In-text Questions — — Percentages Greater than 100 Page 12
- –14Section 1.2 Percentage of Some Quantity — Figure it Out Page 12
- In-text Questions — Using Percentages Page 15
- In-text Questions — — Profit and Loss Page 17
- In-text Questions — — Profit, Loss and Discount Page 18
- In-text Questions — — Taxes Page 19
- –20Section 1.3 — Figure it Out Page 19
- –24Section 1.3 — Figure it Out Page 22
- In-text Questions — — Growth and Compounding Page 24
- In-text Questions — — Tricky Percentages: Would You Rather? Page 25
- In-text Questions — — Tricky Percentages Page 26
- In-text Questions — — A Mishap Page 27
- –30Section 1.3 Using Percentages — Figure it Out Page 28