PLease help me out?

Question

Its a diff. problem from profit,loss & discount & please explain...

Q..A trader allows a discount of 20% of his goods and still makes a profit of 25%.Find the profit % made,if he sells his goods at:
(i) marked price
(ii) at 10% discount

The ans. which is given in the book itself is (i)56.25%
(ii)40.625%

Please help
PLease help

Answer 1

let the marked price=100
after 25% discount it become 100-20=80
now according to question with price 80 trader make 25% profit
so 80 is 125% of original cost
so100% is=80*100/125=64

so the profit if he sell in marked price=100-64=36
so the profit is=36/64*100=56.25%

in 10% discount sell price become=100-10=90
so profit=90-64=26
% profit=26/64*100=40.625%

Answer 2

Setting up the problem:
Suggest Retail Price = SRP
20% discount = (1-.2)*SRP
Profit is that above cost. 25% Profit = 1.25 Cost
.8 SRP= 1.25 Cost
SRP = 1.25/.8 * Cost = 1.5625 Cost
frofit = Sales price - Cost = 1.5625 - 1 = .5625 Cost
=> 56.25% Profit when sold at SRP

If sold at 10% discount then price =
(1-.1) SRP = .9*1.5625 Cost = 1.40625 Cost
=> 40.625 % Profit

Answer 3

His cost is "C"
With a 25% mark-up his price is 1.25C = P
A 20% discount means he sells it for 80% of P
If he makes 20% then 80%P = C + 25%P
.8P = 1.25C
P = 1.25C / .8 = 1.5625 C. Yes, at full price it would be his cost + a 56% profit

P - .1P = .9P is the 10% discounted sales price
We just found that P = 1.5625C
.9 x 1.5625 = 1.40625... a 46% profit

Answer 4

let X be the market price , C is the cost
when selling with 20% discount: 0.8X - C = 0.25C
--> X = 1.25C/0.8
--> X = 1.5625 C
when selling with the market place: profit = 1.5625C - C
--> profit = 56.25%
when selling with 10% discount: profit = 1.5625C*0.9 - C
--> profit = 40.625%

Answer 5

GP=Good price
CS=Cost price

GP-%20GP
=CP+25%CP

=%125CP
=%80GP

try to finish by yourself. I had solved one for you.