Question

Two successive discount of 38% and 25% are offered in the sale of article. If the selling price of the article is Rs. 372 and then find the amount of discount given in the sale article.

Answer 1

Answer:

• The amount of discount given in the sale of article is Rs 428.

Step-by-step explanation:

Given that:

• Two successive discount of 38% and 25% are offered in the sale of article.
• The selling price of the article is Rs. 372.

To Find:

• The amount of discount given in the sale of article.

Let us assume:

• The marked price of an article be x.

Selling price of an article after first discount,

• Marked price = x
• Discount = 38%

Selling price = x - 38% of x

Selling price = x - 0.38x

Selling price = 0.62x

Selling price of an article after second discount,

• Marked price = 0.62x
• Discount = 25%

Selling price = 0.62x - 25% of 0.62x

Selling price = 0.62x - 0.155x

Selling price = 0.465x

Finding the marked price of an article:

We have,

• Selling price = 0.465x
• Selling price = Rs 372

According to the question.

Selling price = Selling price

⟶ 0.465x = 372

⟶ x = 372/0.465

⟶ x = 800

∴ Marked price of an article = Rs 800

Finding the amount of discount given in the sale of article:

We have,

• Marked price = Rs 800
• Selling price = Rs 372

Discount = Marked price - Selling price

Discount = Rs 800 - Rs 372

Discount = Rs 428

∴ Amount of discount given in the sale of article = Rs 428

Answer 2

Answer:

Given :-

Two successive discount of 38% and 25% are offered in the sale of article. If the selling price of the article is Rs. 372

To Find :-

amount of discount given in the sale article.

Solution :-

At first

Let marked price = y

Now,

SP = y - 38% × y

SP = y - 38/100 × y

SP = y - 38y/100

SP = 100y - 38y/100

SP = 62y/100

SP = 0.62y

Now,

After second discount

SP = 0.62y - 25/100 × 0.62x

SP = 0.62y - 1/4 × 0.62

SP = 0.62y - 0.62y/4

SP = 2.48y - 0.62y/4

SP = 1.86y/4

SP = 0.465y

Now

0.465y = 372

y = 372/0.465

y = 800

Discount = 800 - 372

Discount = ₹428