Question

a shopkeeper sold an article for rs 450 at a loss of 10 percent. At what price should he sell it so as to gain 10 percent.

Answer 1

selling price = rs. 450

loss %   = 10

let cp = x

loss % = cp-sp  x 100

                 cp

10      =   x - 450  x 100

                  x

10x   = 100x - 45000

100x - 10x  = 45000

90 x  = 45000

 x  = 45000 / 90

cost price = 500

sp = 450

profit %  = 10

profit = 500 x 10/100

        = 50

selling price  = 500 + 50

                      = Rs. 550

so, they sell at Rs. 550

Answer 2

Hey there....

Ur ans is here -

●COST PRICE = Market price or original price of a commodity is known as cost price .

●SALES PRICE = A commodity sold on which price is known as the sales price .

●GAIN OR PROFIT = When we sold a commodity in more than its cost price we earn Gain .

●LOSS = When we sold a commodity in less than its cost price we earn loss .

GIVEN =
S.P. = Rs.450
LOSS =10%
Profit 10%
Sp. =???

we know that ---
c.p. = s.p. + loss

here ,,,,
CP = 100/100- loss percent × sp
= 100 / 100-10 ×450
= 100 / 90 ×450
C.P.= Rs 500

so , the actual price or cost price is Rs.500 .

Now S.P. on 10 % profit

S.P. = c.p. + profit

Profit = 500×10 /100
=Rs 50

S.P. = 500 + 50
= Rs.550

So , they sell at Rs.550 to earn 10 % profit .

HOPE IT HELPS U ☺☺