ML Aggarwal Ratio and Proportion Exe-6.1 Class 7 ICSE Maths Solutions. We Provide Step by Step Answer of  Exe-6.1 Questions for Ratio and Proportion as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-7.

## ML Aggarwal Ratio and Proportion Exe-6.1 Class 7 Maths Solutions

 Board ICSE Publications Avichal Publishig Company (APC) Subject Maths Class 7th Chapter-6 Ratio and Proportion Writer ML Aggarwal Book Name Understanding Topics Solution of Exe-6.1 Questions Edition 2023-2024

### Ratio and Proportion Exe-5.1

ML Aggarwal Class 7 ICSE Maths Solutions

Page-122

#### Question 1. Express each of the following ratios in simplest form

(i)..1/6…,1/9…..

(ii).4..12…, 1..18….

(iii).1/5..,1/10.., 1/15….

Question -2

Find the ratio of each of the following in simplest form:
(i) ₹ 5 to 50 paise
(ii) 3 km to 300 m
(iii) 9 m to 27 cm
(iv) 15 kg to 210 g
(v) 25 minutes to 1.5 hours
(vi) 30 days to 36 hours

Question 3.
If A : B = 3 : 4 and B : C = 8 : 9, then find A : C.

Question- 4.
If A : B = 5 : 8 and B : C = 18 : 25, then find A : B : C.

Question- 5.
If 3A = 2B = 5C, then find A : B : C.

Question 6.
Out of daily income of ₹ 120, a labour spends ₹ 90 on food and shelter and saves the rest. Find the ratio of his
(i) spending to income
(ii) saving to income
(iii) saving to spending.

Question -7.
5 grams of an alloy contains 334 grams copper and the rest is nickel. Find the ratio by weight of nickel to copper.

Question 8.
A pole of height 3 meters is struck by a speeding car and breaks into two pieces such that the first piece is 12 of the second. Find the length of both pieces.

Question 9.
Heights of Anshul and Dhruv are 1.04 m and 78 cm respectively. Divide 35 sweets between them in the ratio of their heights.

Question 10

₹ 180 are to be divided among three children in the ratio 1/3:1/4:1/6 Find the share of each child.

Question -11

A natural number has been divided into two parts in the ratio 7 : 11. If the difference between the two parts is 20, find the number and the two parts.

Question -12.
A certain sum of money has been divided into two parts in the ratio 9 : 13. If the second part is ₹ 260, find the total amount.

Question -13.
The ratio of the present ages of Anjali and Ashu is 2 : 3. Five years hence, the ratio of their ages will be 3 : 4. Find their present ages.

Question -14.
The present ages of A and B are in the ratio 5 : 6. Three years ago, their ages were in the ratio 4 : 5. find their present ages.

Question 15.
Two numbers are in the ratio 5 : 6. When 2 is added to first and 3 is added to second, they are in the ratio 4 : 5. Find the numbers.

Question 16.
The ratio of number of boys to the number of girls in a school of 1430 students is 7 : 6. If 26 new girls are admitted in the school, find how many new boys may be admitted so that the ratio of number of boys to the number of girls may change to 8 : 7.

Question- 17.
Which ratio is greater?
(i) 5 : 6 or 6 : 7
(ii) 13 : 24 or 17 : 32

### ML Aggarwal ICSE Class-7 Mathematics Solutions Ratio and Proportion Exercise – 6.2

Question 1

Which of the following statements are true?
(i) 2.5 : 1.5 :: 7.0 : 4.2
(ii) 1/2:1/3=1/3:1/4
(iii) 24 men : 16 men = 33 horses : 22 horses.

Question 2

Check whether the following numbers are in proportion or not:
(i) 18, 10, 9, 5
(ii) 3, 312, 4, 412
(iii) 0.1, 0.2, 0.3, 0.6

Question 3.

Find x in the following proportions:
(i) x : 4 = 9 : 12
(ii) 1/13 : x :: 1/2 : 1/5
(iii) 3.6 : 0.4 = x : 0.5

Question -4

Find the fourth proportional to
(i) 42, 12, 7
(ii) 1/31/41/5
(iii) 3 kg, 12 kg, 15 kg

Question- 5

Check whether 7, 49, 343 are in continued proportion or not.

Question -6

Find the third proportional to
(i) 36, 18
(ii) 5.14, 7
(iii) 3.2, 0.8

Question 7.

The ratio between the length and width of a rectangular sheet of paper is 7 : 5. If the width of the sheet is 20.5 cm, find its length.

Question 8.

The ages of Amit and Archana are in the ratio 4 : 5. If Amit is 4 years 8 months old, find the age of Archana.

### Exercise – 6.3, Ratio and Proportion Class-7 ML Aggarwal ICSE Mathematics Solutions

Question 1.
6 bowls cost ₹ 90. What would be the cost of 10 such bowls?

Question 2.
Ten pencils cost ₹ 15. How many pencils can be bought with ₹ 72?

Question 3.
400 grams cake costs 80 rupees. How much would a 1.5 kg cake cost?

Question -4.

A man earns ₹ 18000 in 3 months.
(i) How much time would he take to earn ₹ 30000?
(ii) How much money will he earn in 7 months?

Question -5.
12 mangoes weigh 2.4 kg. What is the weight of 8 mangoes?

Question -6.
If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2.12 kilograms?

Question- 7.
A bus consumes 25 litres of diesel in covering a distance of 90 kilometres. How much diesel is needed to cover 288 kilometres?

Question- 8.

If 4/5 metre cloth costs ₹ 36, find the cost of 215 metres of cloth.

Question -9.
If 15 men can pack 540 parcels per day, how many men are needed to pack 396 parcels per day?

Question -10.
Which is a better buy 12 kg potatoes for ₹ 132 or 16 kg potatoes for ₹ 168?

### Ratio and Proportion Exercise – 6.4Class-7 ML Aggarwal ICSE Mathematics Solutions

Question 1

Convert the following speeds into m/sec:
(i) 72 km/h
(ii) 9 km/h
(iii) 1.2 km/minutes
(iv) 600 m/hour

Question -2.
Convert the following speeds into km/h:
(i) 15 m/sec
(ii) 1.5 m/sec

Question -3.

Which is greater- the speed of 30 m/sec or 30 km/h?

Question- 4.
An aeroplane is flying at a speed of 720 km/h.
(i) If the aerial distance between two cities is 1800 km, how much time will the aeroplane take in crossing these cities?
(ii) How much distance does the aeroplane cover in 40 minutes?
(iii) How far will it fly in 15 seconds?

Question -5.
A dog is walking at a speed of 6 km/h.
(i) How much distance does it cover in 5 minutes?
(ii) How much time would it take to cover 200 metres?

Question -6.
A swimming pool is 50 metres long. A boy can swim across the length and then return to his starting position in 5 minutes. What is his swimming speed in km/h?

Question- 7.
A bus takes 48 minutes to cover a certain distance when travelling at a speed of 50 km/h. How much time will it take to cover the same distance when travelling at a speed of 30 km/h?

### Objective Type Question

#### Mental Maths, Chapter-6 Ratio and Proportion Class-7 ML Aggarwal

Question 1

Fill in the blanks:
(i) The simplest form of the ratio 1/6 : 1/4 is ………
(ii) 75 cm : 1.25 m = ……..
(iii) If two ratios are equivalent, then the four quantities are said to be in ………
(iv) If 8, x, 48 and 18 are in proportion then the value of x is ………
(v) If the cost of 10 pencils is ₹ 15, then the cost of 6 pencils is ……..
(vi) If a cyclist is travelling at a speed of 15 km/h, then the distance covered by him in 20 minutes is ……..

Question -2

State whether the following statements are true (T) or false (F):
(i) A ratio is always greater than 1.
(ii) Ratio of half an hour to 20 seconds is 30 : 20.
(iii) The ratio 5 : 7 is greater than the ratio 5 : 6.
(iv) If the numbers 3, 5, 12 and x are in proportion then the value of x is 20.
(v) The ratio 3 : 2 and 4 : 5 are equivalent.

#### Multiple Choice Question (MCQ)

Choose the correct answer from the given four options (3 to 14)

Question -3.
A ratio equivalent to 6 : 10 is
(a) 3 : 4
(b) 18 : 30
(c) 12 : 40
(d) 5 : 3

A ratio equivalent to 6 : 10 is (b) 18 : 30

Question- 4.

A ratio equivalent to the ratio 2/3 : 3/4 is
(a) 4 : 6
(b) 8 : 9
(c) 6 : 8
(d) 9 : 8

A ratio equivalent to the ratio 2/3 : 3/4 is (b) 8 : 9

Question -5.

The ratio of 75 mL to 3 litres is
(a) 25 : 1
(b) 40 : 1
(c) 1 : 40
(d) 3 : 200

Question -6.
The ratio of the number of sides of a rectangle to the number of edges of a cuboid is
(a) 1 : 2
(b) 1 : 3
(c) 2 : 3
(d) none of these

Question -7.
In a class of 35 students, the number of girls is 20. The ratio of number of boys to the number of girls in the class is
(a) 3 : 4
(b) 4 : 3
(c) 7 : 4
(d) 7 : 3

Question -8.
The ratio of number of girls to the number of boys in a class is 6 : 7. If there are 21 boys in the class, then the number of girls in the class is
(a) 39
(b) 24
(c) 18
(d) 13

Question -9.
Two numbers are in the ratio 3 : 5. If the sum of the numbers is 144, then the largest number is
(a) 48
(b) 54
(c) 72
(d) 90

Question -10.
If x, 12, 8 and 32 are in proportion, then x is
(a) 6
(b) 4
(c) 3
(d) 2

Question -11.
If 3, 12 and x are in continued proportion, then x is
(a) 4
(b) 6
(c) 16
(d) 48

Question -12.
If the weight of 5 bags of sugar is 27 kg, then the weight of one bag of sugar is
(a) 5.4 kg
(b) 5.2 kg
(c) 5.4 kg
(d) 5.6 kg

Question -13.
Sonali bought one dozen notebooks for ₹ 66. What did she pay for one notebook?
(a) ₹ 6.50
(b) ₹ 6.60
(c) ₹ 5.60
(d) ₹ 5.50

Question -14.
The speed of 90 km/h is equal to
(a) 10 m/sec
(b) 18 m/sec
(c) 25 m/sec
(d) none of these

#### Value Based Questions

Question 1.
Sudhanshu divided his property into two parts in the ratio 8 : 5. If the first part is ₹ 1,60,000 and second part is donated to an orphanage, find the amount donated to the orphanage. What values are being promoted?

#### Higher Order Thinking  Skills ( HOTS )

Question 1.
Present ages of Rohit and Mayank are in the ratio 11 : 8. 8 years hence the ratio of their ages will be 5 : 4. Find their present ages.

Question -2.
Ratio of length and breadth of a rectangle is 3 : 2. If the length of the rectangle is 5 m more than the breadth, find the perimeter of the rectangle.

Question -1

A rectangular park is 120 m long and 75 m wide. Find the ratio of:
(ii) length to its perimeter

Question 2.
Divide the angles of a triangle in the ratio 2 : 3 : 4.

Question 3.
Heights of Anshul, Ankita and Dhruv are 1.04 m, 1.30 m and 91 cm respectively. Divide 100 sweets among them in the ratio of their heights.

Question 4.
The weights of Divya and Himanshu are in the ratio 5 : 7. If Himanshu weighs 28 kg, find the weight of Divya.

Question- 5.
Which ratio is smaller- 9 : 13 or 7 : 11 ?

Question 6.
Find the fourth proportional to
(i) 4, 7, 20
(ii) 2.12, 1.14, 2.2

Question- 7.
A typist types 70 pages in 3 hours 30 minutes. How long will she take to type 300 pages?

Question- 8.
12 looms weave 210 m cloth per day. How many metres of cloth will 8 looms weave per day?

Question -9.
A journey takes 4 hours 30 minutes at a speed of 60 km/h. How long will the same journey take at a speed of 15 m/sec?