Question

fThe marked price of a calculator is x. 25% of this price is profit. If the calculator is sold at discount of 10%, what is the profit?

Answer 1

@perl

Answer 2

The full price is x. 25 % of that is profit or 0.25x = Profit.

Then it is marked down by 10 % to
0.25(x-0.1x) = new profit

Answer 3

25 percent of 90 percent of the full price

Answer 4

ok the marked price is the price before the discount

Answer 5

so its 0.225

Answer 6

is it? cos it isnt in the multiple choice

Answer 7

? @perl

Answer 8

?

Answer 9

@mathmath333 can u get the answer

Answer 10

wait

Answer 11

by assumption method
let the marked price be \(100\)
hence profit is \(25\)
hence cost price is \(100-25=75\)
discounted price is \(90\)
\(new~~ profit %=\dfrac{90-75}{75}\times 100\)

Answer 12

\(new~~ profit \%= \dfrac{90-75}{75}\times 100\)

Answer 13

the answers are 0.21x, 0.12x, 0.18x, 0.15x, 0.1x

Answer 14

here marked price =\(100=x\)

Answer 15

as far as i know the discount is given on marked price
so it should be \(20\%\) ie \(0.2x\)

Answer 16

if we use mathmath's method
100 dollars was the original marked price
of the 100 dollars, 75 dollars is cost, 25 dollars is profit.
what happens when we reduce the price by 10% the cost doesnt change since you have to pay your distributor, so we lose profit

Answer 17

wait \(profit =selling~price-cost~price\\
=90-75\\
=15\)

Answer 18

@ perl it is asking about profit not profit %\)

Answer 19

so it should be \(0.15x\)

Answer 20

right

Answer 21

because x = 100 was the original marked price

Answer 22

in our example

Answer 23

?

Answer 24

here is another way to do it, algebraically
Using the equation
profit = selling price - cost price

Let x = marked price

before 10% discount of marked price:
profit = x - .75x

after 10% discount of marked price:
profit = .9x - .75x

Answer 25

cost price is the price the seller has to pay to the producer or the distributor, to get the stuff to sell. That cost is fixed , the seller can't change that

Answer 26

ye ok thanks

Answer 27

marked price -discount=selling price

Answer 28

ye i get it thanks both