Question

A dealer prices an article at 20% more than the cost of the price and allows a discount of 10% on it. Find his gain percent.

Answer 1

Answer:

Step-by-step explanation:

consider cost prize=100

20% gain =20/100x100=20

100+20=120

10% discount=10/100 x 120=12

120-12=108

gain percent=?

108-100

8%

Answer 2

Given

• The dealer prices an article at 20% more than the cost of the price and allows a discount of 10% on it .

To find

• The gain percent

Solution

Let the cost price be x

He listed the article at 20 % above cost price which means , the listed value :- x + 20 % of x

⇒ x + 20 % of x

⇒ x + 20x / 100

⇒ 120x / 100 ( the list price )

Now , he allows a discount of 10 % on the listed

price ...

which equals to ,

⇒ 120x / 100 - 10 % of 120x / 100

⇒ 120x / 100 - 12x / 100

⇒ 108x / 100 [ Selling Price ]

As mentioned above ,

CP = x

SP = 108x / 100

The gain :- 108x / 100 - x → 8x

The gain % :-

⇒ Profit × 100 / CP

⇒ 8x × 100 / 100 x

⇒ profit of 8 % !!

Therefore , he gains 8 % on the cost price !!

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