Question

If books bought at price from Rs. 150 to Rs. 300 are

sold at prices ranging from Rs. 250 to Rs. 350. What

is the greatest possible profit that can made in sell-

ing 15 books?​

Answer 1

$\bigstar\large\underline\red{\underline{\frak{ \: \: Given \;that : - - }}}$

▪︎ bought price from Rs.150 to Rs.300

▪︎ sold price ranging from Rs.250 to Rs.350

$\bigstar\large\underline\orange{\underline{\frak{ \: \: \: Need \;to\;find : - - - }}}$

▪︎ The maximum profit possible by selling 15 books ?

$\bigstar\large\underline\blue{\underline{\frak{Explanation \: and \: solving : - - }}}$

First determine the minimum cost price of a book from the given range and then multiply it with 15 to find the least cost price of 15 books. Similarly, find the maximum selling price for a book from the given range and then multiply it with 15 to find the selling price of 15 books. To find the greatest possible profit, subtract cost-price from the selling price of 15 books.

$\underline {\underline {\rule{80mm}{1mm}}}$

${\bigstar\large \underline\green{\underline{\frak{ \: \: solution \: : - - }}}}$

We are given that the cost price of the books from Rs. 150 to Rs. 300 and selling price of tye books from Rs. 250 to Rs. 350

We have to determine the greatest possible profit made in selling 15 books

let lowest cost price of 15 books Rs. 150

$\pink{ \tt \longrightarrow \:15 \times 150 = 2250 }$

and maximum selling price of 15 books Rs. 350

$\tt \pink{ \longrightarrow \: 15 \times 350 = 5250}$

Now, it is known that profit can be calculated by subtracting cost price from selling price Hence, the maximum profit possible by selling 15 books

$\longrightarrow \frak{ \boxed{ \pmb \: cost \: price- selling \: price }}$

$\sf \longrightarrow \: 2250 - 5250$

$\large \sf \longrightarrow \: 3000$

$\bigstar \underline {\red{ \boxed{ \green{ \bf \: Therefore \: maximum \: profit \: possible \: Rs \: 3000}}}}$

$\rule{80mm}{2mm}$