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NCERT Exemplar · Class 7 · Maths

Chapter 7: Comparing Quantities

Practice each question, then open the answer or worked solution.

Questions

70 questions
Q21Written answer

The sum which will earn a simple interest of ₹ 126 in 2 years at 14% per annum is

(a) ₹ 394 (b) ₹ 395 (c) ₹ 450 (d) ₹ 540

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Worked solution

Solution:-

(c) ₹ 450

From the question it is given that,

SI = ₹ 126

Time = 2 years

Rate = 14%

Then, we know the formula of Simple interest I = (P × R × T)/100

126 = (P × 14 × 2)/100

P = 12600/(14 × 2)

P = ₹ 450

Q22Written answer

The per cent that represents the unshaded region in the figure

NCERT Exemplar Class 7 Maths Solutions Chapter 7 Image 1

(a) 75% (b) 50% (c) 40% (d) 60%

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Worked solution

Solution:-

(c) 40%

From the figure,

Total number of parts in the given figure = 10 × 10 = 100

Out of 100 parts 60 parts are shaded.

So, unshaded parts = 100 – 60 = 40 parts

Then percentage of unshaded parts = (40/100) × 100

= 0.4 × 100

= 40%

Q23Written answer

The per cent that represents the shaded region in the figure is

NCERT Exemplar Class 7 Maths Solutions Chapter 7 Image 2

(a) 36% (b) 64% (c) 27% (d) 48%

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Worked solution

Solution:-

(a) 36%

From the figure,

Total number of parts in the given figure = 10 × 10 = 100

Out of 100 parts 36 parts are shaded.

Then percentage of shaded parts = (36/100) × 100

= 0.36 × 100

= 36%

In each of the questions 24 to 59, fill in the blanks to make the statements true.

Q24Written answer

2 : 3 = ________ %

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Worked solution

Solution:-

2: 3 =
NCERT Exemplar Class 7 Maths Solutions Chapter 7 Image 3%

= (2/3) × 100

=
NCERT Exemplar Class 7 Maths Solutions Chapter 7 Image 4%

Q25Written answer

18¾% = :

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Worked solution

Solution:-

18¾% = 3 : 16

18¾% = 75/4 %

= (75/4) × (1/100)

= 3: 16

Q26Written answer

30% of ₹ 360 = ________.

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Worked solution

Solution:-

30% of ₹ 360 = ₹ 108.

It can be written as = (30/100) × 360

= 10800/100

= ₹ 108

Q27Written answer

120 % of 50 km = ________.

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Worked solution

Solution:-

120 % of 50 km = 60 km.

It can be written as = (120/100) × 50

= 6000/100

= 60 km

Q28Written answer

2.5 = ________%

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Worked solution

Solution:-

2.5 = 250 %

2.5 = 2.5 × 100

= 250%

Q29Written answer

(8/5) = %

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Worked solution

Solution:-

(8/5) = 160 %.

(8/5) is written in percentage as = (8/5) × 100

= 8 × 20

= 160 %

Q30Written answer

A _______ with its denominator 100 is called a per cent.

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Worked solution

Solution:-

A fraction with its denominator 100 is called a per cent.