CBSE Class 7 Answered

A shopkepper bought two fans for RS 5000 . He sold one at a profit of 10% and on the other at loss of 10% . If the SP of both the fans are equal , find the cost price of each fan .

Asked by Sanjay | 26 Mar, 2017, 11:16: AM

Expert Answer

begin mathsize 16px style Let space the space cost space price space of space one space fan space be space Rs. space straight x. So comma space the space cost space price space of space the space other space fan space will space be space Rs. space left parenthesis 5000 minus straight x right parenthesis Given space that space he space sold space one space at space straight a space profit space of space 10 percent sign. So comma space using space profit percent sign equals straight P over CP cross times 100 comma space we space get 10 equals straight P over straight x cross times 100 rightwards double arrow straight P equals straight x over 10 So comma space SP space of space first space fan equals straight x plus straight x over 10 equals fraction numerator 11 straight x over denominator 10 end fraction space space.... left parenthesis Since space SP equals CP plus profit right parenthesis Also comma space given space that space he space sold space the space other space fan space at space 10 percent sign space loss comma So comma space using space loss percent sign equals straight L over CP cross times 100 comma space we space get 10 equals fraction numerator straight L over denominator left parenthesis 5000 minus straight x right parenthesis end fraction cross times 100 rightwards double arrow straight L equals fraction numerator 5000 minus straight x over denominator 10 end fraction So comma space SP space of space second space fan equals left parenthesis 5000 minus straight x right parenthesis minus fraction numerator left parenthesis 5000 minus straight x right parenthesis over denominator 10 end fraction.... left parenthesis Since space SP equals CP minus loss right parenthesis According space to space the space given space condition comma since space the space SP space of space both space the space fans space are space equal comma rightwards double arrow fraction numerator 11 straight x over denominator 10 end fraction equals left parenthesis 5000 minus straight x right parenthesis minus fraction numerator left parenthesis 5000 minus straight x right parenthesis over denominator 10 end fraction rightwards double arrow fraction numerator 11 straight x over denominator 10 end fraction equals fraction numerator 50000 minus 10 straight x minus 5000 plus straight x over denominator 10 end fraction rightwards double arrow 11 straight x equals 45000 minus 9 straight x rightwards double arrow 20 straight x equals 45000 rightwards double arrow straight x equals 2250 So comma space 5000 minus straight x equals 2750 Hence comma space the space cost space price space of space the space one space fan space is space Rs. space 2250 space and space the space cost space price space of space the space other space fan space is space Rs. space 2750. end style

Answered by Rebecca Fernandes | 26 Mar, 2017, 08:32: PM

CBSE Class 7 Answered

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