Question

An article marked at ₹800 sold at a discount of 10%. Find its cost price if the dealer makes a profit of 20%. Also, find the profit percent is no discount had been allowed.​

Answer 1

Answer:

Let the make price be 'x'

Cost Price is Rs.800

Profit required is 20%

(assuming profit is on cost and not on sales)

Profit = 20% of 800 = 160 Rs.

So, selling price = Cost + Profit =800 + 160= 960

but we want to give 20% discount on market price

So, Marked Price - Discount = selling Price

100% - 20%= 80%

so, 80% is 960

hence, marked price =960/80*100 = 1200Rs.

Hence, required Marked Price = Rs.1200

hope it helps you

Answer 2

Given:                Marked Price (M.P.) = Rs.800

                          Discount percentage = 10%

                          Profit = 20%

To find:           (i)  Cost Price (C.P.)

                      (ii) Profit percent, if discount = 0 %

Solution:       (i)  Let C.P. be x

                      since Discount is 10 %

                      10% of M.P. = 10/100×800 = 80 Rs.

                      Selling Price (S.P.) = 800-80=720 Rs.

                    $\frac{S.P.-C.P.}{C.P.} 100$ = 20⇒ $\frac{720- c.p.}{C.P.} 100=20$

                     ⇒ $C.P. = 600 Rs$

                   (ii)  if discount = 0 M.P.= S.P.= 800

                    $\frac{S.P.-C.P.}{C.P.} 100=\frac{800-600}{600} 100=\frac{100}{3}$