Rajesh bought two boxes for rupees 1300.he sold one box at a profit of 20% And the other box at a loss of 12%.if the selling price of both boxes is the same.find the cost price of each box

Asked by ajayrath7 | 13th Dec, 2017, 08:48: AM

Expert Answer:

begin mathsize 16px style Let space the space straight C. straight P. space of space 1 st space box equals Rs. space straight x
rightwards double arrow straight C. straight P. space of space 2 nd space box equals Rs. space left parenthesis 1300 minus straight x right parenthesis
Now comma space straight S. straight P. space of space 1 st space box equals fraction numerator 100 plus Profit percent sign over denominator 100 end fraction cross times straight C. straight P. equals fraction numerator 100 plus 20 over denominator 100 end fraction cross times straight x equals 120 over 100 straight x
And comma space straight S. straight P. space of space 2 nd space box equals fraction numerator 100 minus Loss percent sign over denominator 100 end fraction cross times straight C. straight P. equals fraction numerator 100 minus 12 over denominator 100 end fraction cross times left parenthesis 1300 minus straight x right parenthesis equals 88 over 100 cross times left parenthesis 1300 minus straight x right parenthesis
According space to space question comma
straight S. straight P. space of space 1 st space box equals straight S. straight P. space of space 2 nd space box
rightwards double arrow 120 over 100 straight x equals 88 over 100 cross times left parenthesis 1300 minus straight x right parenthesis
rightwards double arrow 15 straight x equals 11 left parenthesis 1300 minus straight x right parenthesis
rightwards double arrow 15 straight x equals 11 cross times 1300 minus 11 straight x
rightwards double arrow 26 straight x equals 11 cross times 1300
rightwards double arrow straight x equals fraction numerator 11 cross times 1300 over denominator 26 end fraction equals 550
rightwards double arrow 1300 minus straight x equals 1300 minus 550 equals 750
Hence comma space straight C. straight P. space of space 1 st space box equals Rs. space 550 space and space straight C. straight P. space of space 2 nd space box equals Rs. space 750 end style

Answered by Rashmi Khot | 13th Dec, 2017, 09:30: AM