Question

shopkeeper marks his goods 30% above the cost price,if he gives 15% discount on marked price ,find the profit percent​

Answer 1

Step-by-step explanation:

If x is the cost price

Marked price is 130x/100

Discount = 15%

Selling Price

$= \frac{130x}{100} - \frac{15 \times 130x}{10000} \\ = \frac{13000x - 1950x}{10000} \\ = \frac{11050x}{10000} = 1.1050x$

Profit = 0.1050x

Profit %

$= \frac{0.1050x}{x} \times 100 \\ = 10.50\%$

Answer 2

Step-by-step explanation:

Let the CP be x.

So, here the shopkeeper marks his goods 30% above CP which is x.

So, the Marked Price will be x + 30% of x

= x + 3x = 13x

10 10

Discount on MP = 15%

So, Amount of discount is 15% of MP

= 15 × 13x = 39x

100 10 200

SP = MP - Discount

= 13/10x - 39/200x

= 221/200x

So, here SP is 221/200x and CP is x.

So, it is a case of gain.

Gain = SP - CP

= 221/200x - x

= 21/200x

And the Gain % is 21/200x × 100

x

Therefore, gain % is 21 % .

Hope it helps.