Question

A trader gains 25% by selling an article at a discount of 35% on its marked price. If the cost price of the article increases by 28%. what discount percent should he now give on the same marked price to get same profit percentage as before?​

Answer 1

Answer:

16.8

Step-by-step explanation:

consider

MP = 100

Discount on MP in 35% i.e. 35 rs on 100

therefore

SP= 65

Still profit on CP was 25%

65=CP+ 25%CP

CP= 52

Now CP increases by 28%

28%of 52 =14.56

Therefore new CP = 52 + 14.56= 66.56

For new CP too profit remains 25 %

therefore new SP = 66.56 +25%66.56

= 83.20

MP is same i.e. 100

so now discount in rs = (100-83.2)= 16.80

percentage = (16.8*100)/100= 16.8

Answer 2

The value discount percentage is 16.80%.

Step-by-step explanation:

Given:

A trader gains 25% by selling an article at a discount of 35% on its marked price.

If the cost price of the article increases by 28%.

To Find:

The value discount percentage.

Solution:

As given- a trader gains 25% by selling an article at a discount of 35%

on its marked price.

Let marked price of the an article is p.

Discount on marked price  in 35% $= p\times\frac{35}{100} = 0.35 p$

Selling price of article   $= p-0.35p =0.65p$

Selling price of article  $=Cost\ price (1+\frac{25}{100} )$

   $0.65p=Cost\ price( \frac{125}{100} )\\0.65p= 1.25\ Cost price\\Cost price =0.52p$                              

As given- the cost price of the article increases by 28%.

$28\%\ of \ 0.52p =0.1456 p$

New Cost Price after increase=$=0.52p+ 0.1456p=0.6656p$

For new Cost price  profit remains 25 %.

So, new selling price $= 0.6656p(1+\frac{25}{100} )$

                                     $=0.6656p(\frac{125}{100} )$

                                    $=0.832 p$

Marked price of the an article is also remain same p.

So, discount  $=(p-0.832p)=0.168p$

Discount Percentage $=\frac{0.168p}{p} \times 100$

                    $=0.168\times 100= 16.80 \%$

Thus, the discount percentage is 16.80%.

Project Code # SPJ3