Question

By allowing 20% discount on the printed price A shopkeeper on 20% on a certain article if the cost price of an article is rupees 1500 what is the printed price

Answer 1

Answer:

• The printed price of an article is Rs 2250.

Step-by-step explanation:

Given that:

• By allowing 20% discount on the printed price, a shopkeeper earned 20% on a certain article.
• The cost price of an article is rupees 1500.

To Find:

• What is the printed price.

Let us assume:

• The printed price be x.

Formula used:

• SP = {MP × (100 - Discount %)}/100
• SP = {CP ×(100 + Profit %)}/100

Where,

• SP = Selling price
• MP = Marked/Printed price
• CP = Cost price

Finding the selling price when MP and discount percent given:

We have.

• MP = x
• Discount % = 20%

⟶ SP = {x × (100 - 20}/100

⟶ SP = 80x/100

⟶ SP = 0.8x

Finding the selling price when CP and profit given:

We have.

• CP = Rs 1500
• Profit % = 20 %

⟶ SP = {1500 ×(100 + 20)}/100

⟶ SP = (1500 × 120)/100

⟶ SP = 1800

Finding the printed price of an article:

⟶ SP = SP

⟶ 0.8x = 1800

⟶ x = 1800/0.8

⟶ x = 2250

∴ The printed price of an article = Rs 2250

Answer 2

Answer:

• ₹ 2250

Step-by-step explanation:

Correct Question

• By allowing 20% discount on the printed price, a shopkeeper earned 20% on certain article. If the cost price of the article is Rs. 1500, what is printed price?

Given

• Cost price of an article = ₹ 1500
• Discount % =20 %
• Profit % = 20 %

To find

• Selling price/Printed price

Solution

↪ Let the marked price be ₹ x.

Suppose if CP = 100, then

ATP:

• SP = 100 + 100 % 20
• SP = 120

Then if CP = 1

• SP = 120/100

Then SP = (120 × 1500)/100

Where CP = 1500 (Given)

We get,

• SP = 180000/100
• SP = 1800

∴ S.P = ₹ 1800

ATP,

• Discount % = 20 %

Then, SP = MP - D% of MP

• x - (20/100)x = 1800
• x - (x/5) = 1800
• 1800 × 5 = 4x
• 9000 = 4x
• x = 2250

∴ S.P = ₹ 2250