The cost of printing a magazine of 540 pages with 30 lines on each page and 15 words in each line is Rs. 7200

Question

The cost of printing a magazine of 540 pages with 30 lines on each page and 15 words in each line is Rs. 7200 . Find the cost of printing a magazine of 450 pages with 35 lines on each page and 18 words in each line.

Accepted Answer

Cost is directly proportional to the total number of words printed, which is equal to

Pages \times Lines \times Words

.

\frac{Cost _{1}}{P _{1} \times L _{1} \times W _{1}} = \frac{Cost _{2}}{P _{2} \times L _{2} \times W _{2}}

Given values:

*

Cost_{1} = 7200

,

P_{1} = 540

,

L_{1} = 30

,

W_{1} = 15

*

P_{2} = 450

,

L_{2} = 35

,

W_{2} = 18

Substituting the values:

\frac{7200}{540 \times 30 \times 15} = \frac{Cost _{2}}{450 \times 35 \times 18}

Cost_{2} = \frac{7200 \times 450 \times 35 \times 18}{540 \times 30 \times 15}

Simplifying the calculation:

Cost_{2} = 7200 \times (\frac{450}{30 \times 15}) \times (\frac{18}{540}) \times 35

Since

30 \times 15 = 450

, the term

\frac{450}{450} = 1

:

Cost_{2} = 7200 \times 1 \times \frac{1}{30} \times 35

Cost_{2} = 240 \times 35 = Rs. 8400

The cost of printing a magazine of $540$ pages with $30$ lines on each page and $15$ words in each line is $Rs. 7200$ . Find the cost of printing a magazine of $450$ pages with $35$ lines on each page and $18$ words in each line.

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The cost of printing a magazine of 540 pages with 30 lines on each page and 15 words in each line is Rs. 7200. Find the cost of printing a magazine of 450 pages with 35 lines on each page and 18 words in each line.