Question 39

A firm is thinking of buying a printer for its office use for the next one year. The criterion for choosing is based on the least per-page printing cost. It can choose between an inkjet printer which costs Rs. 5000 and a laser printer which costs Rs. 8000. The per-page printing cost for an inkjet is Rs. 1.80 and that for a laser printer is Rs. 1.50. The firm should purchase the laser printer, if the minimum number of a pages to be printed in the year exceeds

Solution

We have to find for how many pages, the cost of printing including the price of the printer, will be same for both the printers.

Let the number of pages be n

For inkjet printer, the cost is 5000 + 1.80*n

For laser printer, the cost is 8000 + 1.50*n

Equating: 5000 + 1.80*n = 8000 + 1.50*n

n=10000

For n>10000, the per page printing cost is lesser for laser printer than inkjet printer.

So, firm should purchase laser printer if number of pages printed are more than 10000.

Hence, option B is the correct answer.


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