Question

Mr kashiv sold out his old chair at a loss of 15 % . If he had sold it for Rs 800 more , he would have received a profit of 5%. Find the cost price of the table.

Answer 1

Let cost  price of chair be = C.P. = Rs. x

and selling price = S. P. = Rs. y

Given case 1: loss = 15%

⇒ loss = C.P - S.P = x-y
loss% = loss/C.P x 100  =  x-y /x  = 15/100 ⇒ x-y = 15x /100

⇒ y = 85x/100            ............(1)


case 2 : profit 5%

C.P. = Rs . x  , S.P. = y + 800

profit = y + 800 - x

profit% = profit / C.P. x 100 = y-x + 800 / x = 5/100
⇒ y-x+800 = 5x/100 ⇒ y + 800 = 105x/100

from (1)  85x/100 + 800 = 105x/100 ⇒ 20x/100 = 800

x = Rs. 4000  y =Rs.  3400

Hope my answer is correct.

Answer 2

the cost price of the table is 761.8