$\text{Shekhar's run rate =}\frac{96}{6}=16\text{runs per over .}$
$\text{Nitish's run rate =}\frac{102}{6}=17\text{runs per over .}$​​​​​
​​​​​​​
Hence Nitish's run rate is greater than that of Shekhar.

The cost of 12 bananas = ₹ 24,
So, the cost of one banana =
$\frac{₹24}{12}=₹2$
The cost of 10 apples = ₹ 100,
So, the cost of one apple =
$\frac{₹100}{10}=₹10$
Therefore, the ratio of the cost of an apple to that of a banana = ₹ 10 : ₹ 2 = 5 : 1.
So, an apple is five times costlier than a banana.

The ratio is the method of comparison between two similar quantities having the same unit.
Length = 2 m = 2000 mm and diameter = 1 mm 
Hence ratio of the length of rope to its diameter is
$\frac{2000}{1}=2000:1$

The cost of 20 envelopes = ₹50.
$\therefore$ The cost of one envelope
 $=\frac{50}{20}$
= ₹ 2.5
One envelope costs ₹2.5.
So, for ₹10,  the number of  envelopes that can be purchased is equal to $\frac{10}{2.5}=4$

Let the fourth proportion be $x$.
Then, 1.2, 1.6, 7.2, $x$ are in proportion.
Product of means = Product of extremes
$\Rightarrow 1.6\times 7.2=x\times 1.2$
$\Rightarrow 1.2x=1.6\times 7.2$
$\Rightarrow x=\frac{1.6\times 7.2}{1.2}$
$\Rightarrow x=9.6$

The unitary method is a method in which we find the value of one unit (by division) and calculate the value of multiple units using the single unit (by multiplication). 

The ratio is a method in which we compare the two similar quantities by dividing them and check how much one value contains or is contained within the other.

Grandfather's present age is 72 years.
Grandson's present age is 12 years.
After 8 years,
grandfather's age would be 72 + 8 = 80 years
and grandson's age would be 12 + 8 = 20 years.
So, after 8 years, the ratio of grandfather's age to grandson's age  would be $\frac{80}{20}=\frac{4}{1}=4:1$.

The ratio of their ages is 12 : 15 or 4 : 5.
So, the money has to be divided in the ratio 4 : 5.
Let the shares be $4x$ and $5x$ respectively.
Now, $4x+5x=9x$
Thus, $9x=1800⟹x=200$
Hence, the share for the 12 year old son is
$4x$ = $4\times 200$  = ₹ 800
The share for the 15 year old son is
$5x$ = $5\times 200$  = ₹ 1000

The ratio of areas of a circular and rectangular field is 1:2, which implies that the area of the rectangular field is twice the area of the circular field.
Given, area of circular field is $50m^2$.
$⟹$Area of the rectangular field
        $=2\times 50=100m^2$