Question

A shopkeeper allows a discount of 20% on the marked price of an article, it is sold at ₹2975. Calculate the marked price of an article.​

Answer 1

Answer:

3718.75 market price

Step-by-step explanation:

Let Market price is = x

Discount price: 20% of X

sold pice = Market price - Discount

2975 = × - 20x/100

2975 = (100x - 20x)/100

2975 = 80x/100

x = (2975 ×100)/ 80

x = 3718.75

Well market price is = 3718.75 Answer

Verify:

20% Discount is = 3718.75/100× 20 = 743.75

Sold price: Market price - Discount

3718.75- 743.75 = 2975 as given above

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Answer 2

Given :

• Discount% = 20%
• SP = Rs.2975

To Find :

Marked price of the article.

Solution :

Analysis :

Here we have to find the marked price using the discount formula.

Required Formula :

• Selling Price = Marked Price – Discount

Explanation :

Let the Marked Price be Rs.“x”.

So,

Discount = Discount% of MP

where,

• Discount% = 20%
• MP = Rs.x

⇒ Discount = 20% of x

⇒ Discount = 20/100 × x

⇒ Discount = 1/5 × x

⇒ Discount = x/5

∴ Discount = Rs.x/5.

We know that if we are given the selling Price and the discount and is asked to find the marked price then our required formula is,

Selling Price = Marked Price – Discount

where,

• SP = Rs.2,975
• MP = Rs.x
• Discount = Rs.x/5

Using the required formula and substituting the required values,

⇒ Selling Price = Marked Price – Discount

⇒ 2975 = x – x/5

⇒ 2975 = (5x - x)/5

⇒ 2975 = 4x/5

⇒ 2975 × 5 = 4x

⇒ 14875 = 4x

⇒ 14875/4 = x

⇒ 3718.75 = x

∴ x = Rs.3718.75.

The marked price of the article is Rs.3718.75.

Verification :

Discount = MP - SP

⇒ Discount = Rs.(3718.75 - 2975)

⇒ Discount = Rs.743.75

∴ Discount = Rs.743.75.

Now discount% :

Discount% = Discount/MP × 100

LHS = 20%

RHS :

⇒ Discount/MP × 100

⇒ 743.75/3718.75 × 100

⇒ 0.2 × 100

⇒ 20%

RHS = 20%

∴ LHS = RHS.

• Hence verified.