Question

an article is sold at 10% gain.if it were sold at 10% loss, the sale price would have been ₹80 less. find purchase price of article

Answer 1

Answer:Given that Gain% = 10%

Let C.P.=x

then Gain in Rs.= 10/100 × x = x/10

We know thαt S.P.of profit=C.P. + gαin = x + x/10 = 11x/10

Now loss%= 10%

hence loss= 10/100 × x= x/10

We know that S.P. of loss =C.P. - loss = x- x/10 = 9x/10

according to question

S.P. of gαin -S.P. of loss = 80

11x/ 10 - 9x/10 = 80

x= 400