Question

the CP of an article is 25% below the MP if the article is available at 15% discount and its CP is 24000 find its MP SP and the profit percent​

Answer 1

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1) The market price is Rs.3200.

2) The selling price is Rs.2720.

3) The profit% is 13.33%.

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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.

★ Therefore, The market price is Rs.3200.

2) Selling price

There is a discount of 15%.

The formula of selling price is

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

Therefore, The profit% is 13.33%

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Answer 2

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$\bold{Marked \: price}$

Let marked price be x Rs.

Cost is 25% less than marked price

Cp = 2400 Rs.

$x - (x \times \frac{25}{100)} = 2400 \\ x - \frac{x}{4} = 2400 \\ \frac{4x - x}{4} = 2400 \\ x = \frac{2400 \times 4}{3} \\ x = 800 \times 4 = 3200rs.$

$\bold{Discount }$

Discount = 15%

MP = 3200 Rs.

So,

$sp = 3200 - (3200 \times \frac{15}{100} )$

$sp = 3200 - 480 \\ sp = 2720 \: rs.$

$\bold{Profit}$

$\boxed{Profit=SP-CP}$

= 2720-2400

= Rs. 320

$profit\% = \frac{profit}{cp} \times 100 \\ \frac{320}{2400} \times 100 \\ = 13.33\%$

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