A Shopkeeper buys two T.V. sets of the same type. He sells one of them at a profit of 20% and the pther at a loss of 5%. If the difference in selling price is 700/-, find the cost price of each T.V.

Asked by Subinoy | 11th Jul, 2016, 12:10: PM

Expert Answer:

begin mathsize 12px style Let space the space cost space price space of space each space straight T. straight V. space be space Rs. space straight x.
Let space the space selling space price space of space the space straight T. straight V. space sets space be space SP subscript 1 space and space SP subscript 2.
He space sells space one space of space them space at space straight a space profit space of space 20 percent sign.
straight P percent sign equals straight P over CP cross times 100 rightwards double arrow 20 equals straight P over straight x cross times 100 rightwards double arrow straight P equals fraction numerator 20 straight x over denominator 100 end fraction equals straight x over 5
He space sells space the space other space TV space set space at space straight a space loss space of space 5 percent sign.
straight L equals percent sign equals straight L over CP cross times 100 rightwards double arrow 5 equals straight L over straight x cross times 100 rightwards double arrow straight L equals fraction numerator 5 straight x over denominator 100 end fraction equals straight x over 20

Given space that space SP subscript 1 space minus space SP subscript 2 space equals space Rs. space 700
rightwards double arrow straight x plus straight x over 5 space minus space left parenthesis straight x minus straight x over 20 right parenthesis space equals space Rs. space 700
rightwards double arrow straight x plus straight x over 5 space minus space straight x plus straight x over 20 equals space Rs. space 700
rightwards double arrow straight x over 5 plus straight x over 20 equals Rs. space 700
rightwards double arrow fraction numerator 5 straight x over denominator 20 end fraction equals Rs. space 700
rightwards double arrow straight x equals Rs. fraction numerator space 700 cross times 20 over denominator 5 end fraction equals Rs. space 2800
Hence comma space the space cost space price space of space each space straight T. straight V. space is space Rs. space 2800.
end style

Answered by Rebecca Fernandes | 11th Jul, 2016, 12:34: PM