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NCERT Solutions Ganita Prakash (Part 2) Chapter 1 In-text Questions — — Percentages Greater than 100

Book page 12 Updated on2026-09-05

Q1.
On Day 7, he achieved 150% of his target. On Day 8, he achieved 210% of his target. Find the sales made on these days.
Answer

This reverses the earlier question: the percentage is known, the sales amount is not.

Day 7: 150% of 5000 = 150/100 × 5000 = 1.5 × 5000 = ₹7500
Day 8: 210% of 5000 = 210/100 × 5000 = 2.1 × 5000 = ₹10,500

Mentally: 100% is ₹5000 and 10% is ₹500, so 150% = 5000 + 2500 = 7500, and 210% = 10,000 + 500 = 10,500.

Why it happens: Reading “150% of the target” as “1.5 times the target” turns the percentage question into a plain multiplication. That is the most useful habit in this whole chapter: r% of a quantity is (r ÷ 100) times that quantity, whether r is 15, 150 or 1500.
Q2.
Complete the table below. Mark the approximate locations in the following diagram. [Per cent: 90%, 110%, 200%, 250%, 15%, 173%, 358%, 28.9%, 305%; rows for Fraction and Decimal; a number line marked 0%, 100%, 200%, 300%, 400% with (0), (1), (2), (3), (4) below.]
Answer
Per cent90%110%200%250%15%173%358%28.9%305%
Fraction90/100 = 9/10110/100 = 11/10200/100 = 2250/100 = 5/215/100 = 3/20173/100358/100 = 179/50289/1000305/100 = 61/20
Decimal0.91.12.02.50.151.733.580.2893.05

On the diagram the marks sit at the decimal values, since 100% is the point 1:

15% just after the start  |  28.9% about a third of the way to (1)
90% just before (1)  |  110% just after (1)
173% between (1) and (2), nearer (2)  |  200% exactly at (2)
250% halfway between (2) and (3)  |  305% just after (3)
358% between (3) and (4), nearer (4)
Why it happens: The diagram's two scales — 0%…400% and (0)…(4) — are the same scale written twice, because a percentage divided by 100 is its position on the number line. 28.9% needs a denominator of 1000 as a fraction (28.9/100 = 289/1000) only because its numerator is not a whole number; as a decimal it stays simple, 0.289.
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