Question

A dealer marks his goods 20% above cost price, he
then allows some discount on it and makes a profit
of 8%, then what is the rate of discount?
​

Answer 1

Solution :

A dealer marks his goods 20% above cost price, he  then allows some discount on it and overall makes a profit  of 8% finally .

We need to find the rate of discount offered by the dealer.

So, let us initially assume that the dealer offers a discount of x% on his goods .

Now, let us assume that the cost price of the goods is Rs. k

The marked price is 20% above the cost price .

So, the marked price becomes :

> 120% of k

> 1.2 k

For x ≤ 100,

Selling price :

>  ( 100 - x )% of 1.2 k

This is equal to 8% profit or 8% of k .

>  ( 100 - x )% of 1.2 k = 8% of k

> ( 100 - x )/100 x 12/10 k= 8/100 k

> (100-x)/100 x 12/10 = 8/100

> ( 100 - x) * 12/10 = 8

> 12( 100 - x) = 80

> `1200 - 12x = 80

> 12x = 1120

> x = 93% .

This is the required answer .

_____________________________________________________

Answer 2

$\huge \fbox \red{Answer}$

Let C.P. of article = Rs. 100

∴ Marked price = Rs. 120

On profit of 8% , Its S.P. = Rs. 108

∴ Discount = Rs. (120 – 108) = Rs. 12

∴ If discount be y%, then,

$120 \times \frac{y}{100} = 12$

$y = \frac{12 \times 100}{120}$

= 10%