Question

A man has 60 pens. he sells some at a profit of 12% and the rest at a loss of 8%. on the whole, he makes a profit of 11 %. how many pens did he sell at a profit of 12%?

Answer 1

Answer:

57

Step-by-step explanation:

let he sells x pens at profit 12%

remaining (60-x) pens at a loss 8%

total profit =11%

let cost price of 60 pens y rs

so SP of 60 pens =111%of y=111y/100 rs

again cost of x pens =xy/60 rs

sp of x pens =112%of xy/60=7xy/375

and cost of (60-x) pens is y (60-x)/60 rs

so sp of (60-x) pens is =92% of y(60-x)/60 rs

=23y (60-x)/1500 rs

so sp of x +sp of (60-x)=sp of 60 pens

or [7xy/375]+[23 (60-x)y/1500]=111y/100

or 5xy=285y

or x=57

so he sells 57 pens at profit 12%

MARK AS BRAINLIEST