Question

The CP of an article is 25% below the marked price. If the article is available at 15% discount and if its CP is Rs.2400 Find its 1) Marked price 2) SP 3) Profit %

Answer 1

1). Let marked price be x Rs.
Cost is 25% less than mp.And CP = 2400
x-x*25/100 = 2400.
x-x/4 =2400.
(4x-x)/4= 2400.
3x= 2400*4.
x= (2400*4)/3 = 800*4 = 3200 Rs.

2). Discount=15%.
MP.=3200Rs.
So SP= 3200-3200*15/100.
= 3200-480.
= 2720Rs.

3). Profit= Sp-Cp.
= 2720-2400.
= 320Rs.
Profit%= (profit/CP)×100.
= (320/2400)×100.
=13.33%

Hope it helps.

Answer 2

Answer:

1) The market price is Rs.3200.

2) The selling price is Rs.2720.

3) The profit% is 13.33%.

Step-by-step explanation:

Given : The CP of an article is 25% below the marked price. If the article is available at 15% discount and if its CP is Rs.2400.

To find :

1) Marked price 2) Selling price 3) Profit %

Solution :

1) Market price

Let marked price be Rs. x

Cost price = Rs.2400

Cost is 25% less than marked price.

i.e. $x-25\%\text{ of }x=2400$

$x-\frac{25}{100}x=2400$

$x-\frac{x}{4}=2400$

$\frac{4x-x}{4}=2400$

$\frac{3x}{4}=2400$

$x=\frac{2400\times 4}{3}$

$x=3200$

Therefore, The market price is Rs.3200.

2) Selling price

There is a discount of 15%.

The formula of selling price is

$SP=MP-MP\times D\%$

$SP=3200-3200\times \frac{15}{100}$

$SP=3200-480$

$SP=2720$

Therefore, The selling price is Rs.2720.

3) Profit%

Profit = Selling price - Cost price

Profit =Rs.2720-Rs.2400

Profit =Rs.320

The formula of profit% is

$P\%=\frac{P}{CP}\times 100$

$P\%=\frac{320}{2400}\times 100$

$P\%=13.33\%$

Therefore, The profit% is 13.33%.