Question

6 books cost Rs.750 how much will 32 books cost​

Answer 1

Answer:

Rs. 4000

Step-by-step explanation:

As per the provided information in the given question, we have :

• Cost of 6 books = Rs. 750

We are asked to calculate the cost of 32 books.

In order to calculate the cost of 32 books, we need to calculate the cost of 1 book first. So, we'll be using unitary method to solve this question. Firstly, we'll find the cost of 1 book And then, we'll multiple the cost of 1 book with 32 to find the required answer.

Finding the cost of 1 book :

Here,

$\longmapsto \rm {Cost_{(6 \; books)} = Rs. \; 750 }$

$\longmapsto \rm {Cost_{(1 \; book)} = Rs. \; \cancel{\dfrac{750}{6} }}$

Dividing 750 by 6.

$\longmapsto \rm {Cost_{(1 \; book)} = Rs. \; 125}$

∴ Cost of 1 book is Rs. 125.

Finding the cost of 32 books :

$\longmapsto \rm {Cost_{(32 \; books)} =Cost_{(1 \; book)} \times 32}$

Substituting the values.

$\longmapsto \rm {Cost_{(32 \; books)} =Rs. \; ( 125 \times 32) }$

Multiplying 125 with 32.

$\longmapsto \bf { Cost_{(32 \; books)} =Rs. \; 4000 }$

∴ Cost of 32 books is Rs. 4000.

____________________

We can also solve this question by using direct variation concept.

Suppose the cost of 32 books as x. More books will be required more cost, that's why it is the case of direction variation of direct proportion.

Constructing the table :

• Refer to the attachment.

As it is the case of direct variation, so

$\longmapsto \rm { \dfrac{6}{750} = \dfrac{32}{x} }$

Using cross multiplication method,

$\longmapsto \rm { 6x= 32(750) }$

Multiplying 750 with 32.

$\longmapsto \rm { 6x= 24000}$

Transposing 6 from L.H.S to R.H.S.

$\longmapsto \rm { x= \cancel{\dfrac{24000}{6}} }$

Dividing 24000 with 6.

$\longmapsto \bf { x = 4000 }$

∴ Cost of 32 books is Rs. 4000.

Answer 2

Answer:

Rs. 4000

Step-by-step explanation:

As per the provided information in the given question, we have :

Cost of 6 books = Rs. 750

We are asked to calculate the cost of 32 books.

In order to calculate the cost of 32 books, we need to calculate the cost of 1 book first. So, we'll be using unitary method to solve this question. Firstly, we'll find the cost of 1 book And then, we'll multiple the cost of 1 book with 32 to find the required answer.

Finding the cost of 1 book :

Here,

\begin{gathered} \longmapsto \rm {Cost_{(6 \; books)} = Rs. \; 750 }\\ \end{gathered}

⟼Cost

(6books)

=Rs.750

\begin{gathered} \longmapsto \rm {Cost_{(1 \; book)} = Rs. \; \cancel{\dfrac{750}{6} }}\\ \end{gathered}

⟼Cost

(1book)

=Rs.

6

750

Dividing 750 by 6.

\begin{gathered} \longmapsto \rm {Cost_{(1 \; book)} = Rs. \; 125}\\ \end{gathered}

⟼Cost

(1book)

=Rs.125

∴ Cost of 1 book is Rs. 125.

Finding the cost of 32 books :

\begin{gathered} \longmapsto \rm {Cost_{(32 \; books)} =Cost_{(1 \; book)} \times 32}\\ \end{gathered}

⟼Cost

(32books)

=Cost

(1book)

×32

Substituting the values.

\begin{gathered} \longmapsto \rm {Cost_{(32 \; books)} =Rs. \; ( 125 \times 32) }\\ \end{gathered}

⟼Cost

(32books)

=Rs.(125×32)

Multiplying 125 with 32.

\begin{gathered} \longmapsto \bf { Cost_{(32 \; books)} =Rs. \; 4000 }\\ \end{gathered}

⟼Cost

(32books)

=Rs.4000

∴ Cost of 32 books is Rs. 4000.

____________________

We can also solve this question by using direct variation concept.

Suppose the cost of 32 books as x. More books will be required more cost, that's why it is the case of direction variation of direct proportion.

Constructing the table :

Refer to the attachment.

As it is the case of direct variation, so

\begin{gathered} \longmapsto \rm { \dfrac{6}{750} = \dfrac{32}{x} } \\\end{gathered}

⟼

750

6

=

x

32

Using cross multiplication method,

\begin{gathered} \longmapsto \rm { 6x= 32(750) } \\\end{gathered}

⟼6x=32(750)

Multiplying 750 with 32.

\begin{gathered} \longmapsto \rm { 6x= 24000} \\\end{gathered}

⟼6x=24000

Transposing 6 from L.H.S to R.H.S.

\begin{gathered} \longmapsto \rm { x= \cancel{\dfrac{24000}{6}} } \\\end{gathered}

⟼x=

6

24000

Dividing 24000 with 6.

\begin{gathered} \longmapsto \bf { x = 4000 } \\\end{gathered}

⟼x=4000

∴ Cost of 32 books is Rs. 4000.

Hope it helps you keep smiling :)