A shopkeeper boughttwo fans for rupees 5000 he sold one at a profit of 10% and the other at a loss of 10% if the SP of both the fans are equal find the cost price of each pen

Asked by harshkumar2000006 | 4th Sep, 2020, 03:34: PM

Expert Answer:

begin mathsize 16px style Let space the space cost space price space of space 1 st space fan space be space Rs. space straight x space rightwards double arrow the space cost space price space of space the space second space fan space be
space Rs. left parenthesis 5000 space minus space straight x right parenthesis
For space the space first space fan colon
Profit space percent sign space equals space fraction numerator Profit over denominator straight C. straight P end fraction cross times 100
rightwards double arrow 10 space equals Profit over straight x cross times 100
rightwards double arrow space Profit space equals space straight x over 10
straight S. straight P space equals space straight x space plus straight x over 10 equals space fraction numerator 11 straight x over denominator 10 end fraction space.... left parenthesis 1 right parenthesis
For space the space second space fan colon
Loss space percent sign space equals space fraction numerator Loss over denominator straight C. straight P end fraction cross times 100
rightwards double arrow 10 space equals fraction numerator Loss over denominator 5000 minus straight x end fraction cross times 100
rightwards double arrow space Loss equals space fraction numerator 5000 minus straight x over denominator 10 end fraction
straight S. straight P space equals space 5000 minus straight x minus open parentheses fraction numerator 5000 minus straight x over denominator 10 end fraction close parentheses... left parenthesis 2 right parenthesis
Selling space price space of space both space the space fans space is space equal.
fraction numerator 11 straight x over denominator 10 end fraction equals 5000 minus straight x minus open parentheses fraction numerator 5000 minus straight x over denominator 10 end fraction close parentheses
rightwards double arrow straight x space equals space 2250 space

Cost space price space of space first space fan space is space Rs. space 2250 space and space the space cost space price space of space the space second space fan space is space Rs.2750.



end style

Answered by Yasmeen Khan | 4th Sep, 2020, 04:52: PM