Question

A shopkeeper marks the price of an article at rs. 80. find the cost price if after allowing a discount of 10% he still gains 20% o the cost price.

Answer 1

after allowing 10% discount

(80*10)/100 =8.

so sp is 80-8=72

he still gains 20%

so
now let cp is x
then
x+20%of x=72

x+20x/100=72
x+x/5=72
solving it
6x/5=72
x=(72*5)/6
so
x=60. ans

Answer 2

Given:

Marked price=Rs.80

Discount=10%

Gain=20%

To find:

The cost price

Solution:
The article's cost is Rs.60.

We will calculate the article's selling price by deducting the discount to further calculate the article's cost.

The amount of discount=10% of the article's marked price

=10% of Rs.80

=10/100×80

=80/10

=Rs.8

So, the article will be sold at=Marked price- discount's amount

=80-8

=Rs.72

Now, this price of selling still earns the shopkeeper a 20% gain.

Let the article's cost is Rs.X.

Article's cost+gain=price of selling

Using the values,

X+20% of X=72

X+20X/100=72

120X/100=72

12X/10=72

12X=72×10

12X=720

X=720/12

X=60

Therefore, the article's cost is Rs.60.