Question

A dealers allows a discount of 10% and still gain by 10% what should be the price if the cost price is 900

Answer 1

Let’s get this problem solved...!!!

As given in the question, the dealer gains 10% of cost on the product.

So,
The price after discount would be :

900 + 900 x 10%
= 900 + 900 x 10/100
= 990

(As there was a gain in the price of product, it would obviously on the cost price)

Let the selling price on the product be X

Therefore,
X - 10% of X = 990
(SP - Discount = Discount Rate)
or X - (10/100)X = 990
or X(1 - 1/10) = 990
or X(9/10) = 990
or X = 990(10/9)

Therefore,
X = SP = 1100

Hence,
The selling price on the product is. 1100.

Answer 2

Let’s get this problem solved...!!!

As given in the question, the dealer gains 10% of cost on the product.

So,

The price after discount would be :

900 + 900 x 10%

= 900 + 900 x 10/100

= 990

(As there was a gain in the price of product, it would obviously on the cost price)

Let the selling price on the product be X

Therefore,

X - 10% of X = 990

(SP - Discount = Discount Rate)

or X - (10/100)X = 990

or X(1 - 1/10) = 990

or X(9/10) = 990

or X = 990(10/9)

Therefore,

X = SP = 1100

Hence,

The selling price on the product is. 1100.