Ratio and Proportion OP Malhotra S.Chand Class-10 ICSE Maths Solutions Ch-6

Ratio and Proportion OP Malhotra S.Chand Class-10 ICSE Maths Solutions Ch-6.  We Provide Step by Step Answer of Exe-6 with Self Evaluation and Revision of S Chand OP Malhotra Maths . Visit official Website CISCE  for detail information about ICSE Board Class-10.

Ratio and Proportion OP Malhotra S.Chand Class-10 ICSE Maths Solutions Ch-6

-: Select Topics :-

Exe-6(a),

Exe-6(b),

Exe-6(c),

Self Evaluation And Revision


Exe-6,

Ratio and Proportion OP Malhotra S.Chand Class-10 ICSE Maths Solutions Ch-6

Ratio and Proportion:

Ratio and Proportion are explained majorly based on fractions. When a fraction is represented in the form of a:b, then it is a ratio whereas a proportion states that two ratios are equal. Here, a and b are any two integers. The ratio and proportion are the two important concepts, and it is the foundation to understand the various concepts in mathematics as well as in science.

Ratio and Proportion in Maths:

The definition of ratio and proportion is described here in this section. Both concepts are an important part of Mathematics. In real life also, you may find a lot of examples such as the rate of speed (distance/time) or price (rupees/meter) of a material, etc, where the concept of the ratio is highlighted.

Proportion is an equation which defines that the two given ratios are equivalent to each other. For example, the time taken by train to cover 100km per hour is equal to the time taken by it to cover the distance of 500km for 5 hours. Such as 100km/hr = 500km/5hrs.

Definition of Ratio:

In certain situations, the comparison of two quantities by the method of division is very efficient. We can say that the comparison or simplified form of two quantities of the same kind is referred to as ratio. This relation gives us how many times one quantity is equal to the other quantity. In simple words, the ratio is the number which can be used to express one quantity as a fraction of the other ones.

Definition of Proportion:

Proportion is an equation which defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Difference Between Ratio and Proportion

To understand the concept of ratio and proportion, go through the difference between ratio and proportion given here.

S.No Ratio Proportion
1 The ratio is used to compare the size of two things with the same unit The proportion is used to express the relation of two ratios
2 It is expressed using a colon (:), slash (/) It is expressed using the double colon (::) or equal to the symbol (=)
3 It is an expression It is an equation
4 Keyword to identify ratio in a problem is “to every” Keyword to identify proportion in a problem is “out of”

Exe-6 (a),

Ratio and Proportion OP Malhotra S.Chand Class-10 ICSE Maths Solutions Ch-6

Question 1 

Find the value of x in each cas :

(i)………………..

(ii)…………………

Question 2

Find the fourth proportional to :

(i)……………………..

(ii)…………………….

(iii)………………..

Question  3

Find the third proportional to :

(i)……………………..

(ii)…………………….

(iii)………………..

Question 4

………………………..

………………………….

…………………………….

Question 11

If x + 7 is the mean proportional between (x+3) and (x+12), find the value of x.

Question 12

If ………………………..


Exe-6 (b),

Ratio and Proportion OP Malhotra S.Chand Class-10 ICSE Maths Solutions Ch-6

Question 1

If x/y ……………………. 

Question 2

If (4a + 9b) : ………………………

Question 3

If (5a + 11b)…………………………

Question 4

………………………….

…………………………

………………………..

Question 10

Solve for x : …………………….

Question 11

If x ………………………

Question 12

………………………….

Question 13

If ………… ……. show that ……………………


Exe-6 (c),

Ratio and Proportion OP Malhotra S.Chand Class-10 ICSE Maths Solutions Ch-6

Question 1

If …………………………. , show that:

(i)…………………………..

(ii)…………………………..

(iii)…………………………..

(iv)…………………………..

(v)…………………………..

Question 2

………………………

……………………

………………….

Question  5

If x/a = y/b = z/c , prove that

Question 6

…………………………

………………………..

Question 8

If ax = by = cz, prove that ………………………..


Self Evaluation And Revision

Ratio and Proportion OP Malhotra S.Chand Class-10 ICSE Maths Solutions Ch-6

— : End of Ratio and Proportion OP Malhotra S Chand Solutions :–


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9 thoughts on “Ratio and Proportion OP Malhotra S.Chand Class-10 ICSE Maths Solutions Ch-6”

  1. Kindly upload Self Evalution and Revision ( Latest ICSE Questions) of Chapter 6
    And try to upload Self Evalution of all chapter
    Hope you will try to work on it…!!
    ~Anurag Chandra
    Class-X

    Reply

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