Question

The cost price of an article is 25% below the marked price.if the articles is available at 15%discount and its cost price is rs2400 find its marked price, selling price , the profit percent

Answer 1

Answer:

Marked Price = Rs. 3200

Selling Price = Rs. 2720

Profit Percent = 10%

Step-by-step explanation:

Let Marked Price be 'x'

It is given that,

Cost Price = x - 25% of x

Cost Price = Rs. 2400

Selling Price = x - 15% of x

Let's first find Marked Price

According to Cost Price

x - ($\frac{25}{100}$ × x) = 2400

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

We will cancel 100 and make it 4 and 25 will become 1

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

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

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

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

3x = 2400 × 4

3x = 9600

x = $\frac{9600}{3}$

x = 3200

Marked Price is Rs. 3200

Now that we know the Marked Price,

We can find Selling Price

We saw before that Selling Price was x - 15% of x

We will now substitute x for Marked Price = Rs. 3200

=3200 - ($\frac{15}{100}$ × 3200)

=3200 - $\frac{48000}{100}$

We will cancel 2 zeros from both numerator and denominator

=3200 - $\frac{480}{1}$

=3200 - 480

= 2720

Selling Price is Rs. 2720

Now let's find Profit Percentage

Profit amount = Selling Price - Cost Price

= 2720 - 2400

= Rs. 320

Profit Percentage Formula

$\frac{Profit}{Cost Price}$  × 100

=$\frac{320}{3200}$ × 100

=$\frac{32000}{3200}$

= 10%

Profit Percentage is 10%

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