Question

If the face value of a share is ` 10 and it is traded at a 19% premium, then its market price is _____.​

Answer 1

Step-by-step explanation:

sameer_bhargav_12Given :-

ratio of base and height of the triangle is 3:2

area of the triangle is 108 cm²

To Find :-

base and height of the triangle ?

Solution :-

Let the base and height of the triangle is 3x and 2x

and we know that,

\boxed{ \bold{area \: of \: \triangle = \frac{1}{2} \times b \times h }}

areaof△=

2

1

×b×h

\begin{gathered} \bold{: \implies \frac{1}{ \cancel2} \times 3x \times \cancel 2x = 108 } \: \: \\ \\ \bold{: \implies 3 {x}^{2} = 108} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies {x}^{2} = \cancel \frac{108}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies {x}^{2} = 36 }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = \sqrt{36} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = 6 }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{gathered}

:⟹

2

1

×3x×

2

x=108

:⟹3x

2

=108

:⟹x

2

=

3

108

:⟹x

2

=36

:⟹x=

36

:⟹x=6

so, x = 6 is the common multiple of base and height

then,

base = 3 × 6 = 18 cm

height = 2 × 6 = 12 cm

hence, base and height of the triangle is 18 cm and 12 cm respectively