Math, asked by mahekagarwal2345, 9 months ago

art Class Software on the smart board in class to do Exercise.
1. A car covers 72 km in 2 hours and a train covers 120 km in 3 hours. Find the ratio of their speeds.
2. Which ratio is larger in each of the following pairs :
(i)4: 7 or 5 : 8
(ii) 2:3 or 3 : 4
(iii) 2 : 5 or 5:6
3. Fill in the blanks
6
2
(i)
15
6
(ii)
45
18
18
3
4. Arrange the following ratios in ascending order :
5:4, 7:6, 3:2, 5:8
5. Give four equivalent ratios of 12 : 15.
6. In a class test, 16 students out of 48 passed. Find the ratio between
(1) passed students to total number of students.
(ii) failed students to the number of passed one.
7. If A:B = 2:3, B: C = 5:6, find A: C.
3. If 3A = 4B = 5C, find A:B:C.
. If A:B = 3: 4, B: C = 5:7, find A:B: C.
In the ratio 8: 13, if the consequent is 91, what is the antecedent?
A sum of 3500 is to be divided between Rishi and Saurav in the ratio 3 : 2. How much will each get?
Divide 3600 among A, B and C in the ratio 2 : 3: 4.
What number must be added to each term of the ratio 9 : 16 to make the ratio 2 : 3?
What number must be subtracted from each term of the ratio 19 : 21 to make it 7 : 8?
4:7, find (4x + 5y) : (5x + 3y).
A student gets marks in the ratio 1 : 2:2: 3 in Maths, English, Hindi and Science respectively. The
total marks secured is 320. Find his marks in each subject.
Iwo numbers are in the ratio 5 : 8. If their L.C.M. is 200, find the numbers.
The ratio of boys and girls in a school is 5:3. If there are 300 boys, find the number of girls in the school.
Ratio and Proportion 119

Answers

Answered by rpnikhilverma

Answer:

1). Let x=3λ

y=5λ

So,

3x+5y

3x+4y

8(3λ)+5(5λ)

3(3λ)+4(5λ)

24λ+25λ

9λ+20λ

49λ

29λ

=29:49

2). Let x=8λ

y=9λ

So,

3x+2y

7x−4y

3(8λ)+2(9λ)

7(8λ)−4(9λ)

24λ+18λ

56λ−36λ

42λ

20λ

=10:21

3). Let the numbers be 6x and 13x

Now, Since

′

is a common multiple

∴ LCM of 6x and 13x=13×6×x

=78x

Now, 78x=312⇒x=

312

Hence, Required numbers are ⇒6x=6×4=24

13x=13×4=52

4). Let the number to be added by y

Such that,

13+y

7+y

⇒21+3y=26+2y⇒y=5

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