Raju sold two articles at  Rs. 700 each. On one, he gains 25% profit and on the other he suffers 20% loss. Find his gain or loss per cent on the whole transaction.

Asked by hetalvipulshah91 | 17th Dec, 2015, 06:47: PM

Expert Answer:

begin mathsize 14px style straight S. straight P. space of space each space article equals Rs.700 rightwards double arrow Total space straight S. straight P. equals 700 plus 700 equals 1400 An space article space left parenthesis first right parenthesis space is space sold space at space straight a space gain space of space 25 percent sign comma space then space straight S. straight P. space equals space 125 percent sign space of space straight C. straight P. rightwards double arrow 700 equals 125 over 100 cross times CP rightwards double arrow CP left parenthesis 1 st space article right parenthesis equals fraction numerator 700 cross times 100 over denominator 125 end fraction equals 560 An space article space left parenthesis second right parenthesis space is space sold space at space straight a space loss space of space 20 percent sign comma space then space straight S. straight P. space equals space 80 percent sign space of space straight C. straight P. rightwards double arrow 700 equals 80 over 100 cross times CP rightwards double arrow CP left parenthesis 2 nd space article right parenthesis equals fraction numerator 700 cross times 100 over denominator 80 end fraction equals 875 Total space CP equals 560 plus 875 equals 1435 Since space CP greater than space SP comma space there space is space straight a space loss comma space which space is Loss equals CP minus SP equals 1435 minus 1400 equals 35 Loss percent sign equals open parentheses fraction numerator Loss cross times 100 over denominator CP end fraction close parentheses equals fraction numerator 35 cross times 100 over denominator 1435 end fraction equals 2.4 percent sign end style

Answered by Rashmi Khot | 18th Dec, 2015, 09:06: AM

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