Question

After allowing a discount of 20% on the marked price of a lamp, a trader loses 10%
what percentage is the marked price above the cost price?​

Answer 1

Answer:

Let the cost price be Rs 100.

Profit is 12 %, so profit = Rs 12

Selling price =Rs 112

Now, suppose the marked price is Rs x

Discount is 20 % on the marked price

So, selling price = 80x/100 =112

So, x = 112*100/80 = 140

So, marked price is Rs 140, that is 40 %

above the cost price.

Answer 2

Let CP be ₹100,
Then, MP is x% above CP which is equal to = ₹(100+x)———-Marked Price—[(x/100)*100]

Now A discount of 20% makes Selling Price=[(80/100)*(100+x)] ——(100-20=80)

We know, Cost Price=Selling Price+Loss
Loss%=10%
Then Loss=(10/100)*100=₹10
CP=SP+10
100= [(80/100)*(100+x)]+10
90= [(80/100)*(100+x)]
90=[(8000 + 80x)/100]
9000=8000+80x
80x=1000
x=₹12.50

Which makes Marked Price=₹112.50
And Marked Price is 12.5% above the Cost Price.——-Ans.