Question

an article is sold for Rs.2400 at 25% loss. what is the cost price of the article??​

Answer 1

Answer:

=> Loss % = 6.25%

Step-by-step explanation:

Loss = 6.25 % if Article sold at Rs 1800 which gives 25% Profit on seling at Rs 2400

Let say Cost Price of Article = Rs X

25 % Profit = (25/100)X = 0.25X

Selling Price = Cost Price + Profit

=> Selling Price = X + 0.25X

=> Selling Price = 1.25X

1.25X = 2400

=>X = 1920

Cost Price = Rs 1920

if Sold at Rs 1800

1800 < 1920

Loss = 1920 - 1800 = 120 Rs

Loss % = (120/1920) * 100

=> Loss % = 6.25%

Answer 2

Given :

• Selling Price (SP) = Rs 2400
• Loss % = 25%

To Find :

• Cost Price of Article (CP)

Formula :

• CP = (100/100 - Loss%) × SP

Solution :

⠀⟶⠀CP = (100/100 - Loss%) × SP

⠀⟶⠀CP = (100/100 - 25) × 2400

⠀⟶⠀CP = (100/75) × 2400

⠀⟶⠀CP = 100/75 × 2400

⠀⟶⠀CP = 100 × 32

⠀⟶⠀CP = Rs 3200

⛬ Cost Price of the Article is Rs 3200

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More Formulas :

• Gain = Selling Price - Cost Price
• Loss = Cost Price - Selling Price
• Gain% = (Gain/Cost Price) × 100
• Loss% = (Loss/Cost Price) × 100
• SP = (100 + Gain%/100) × CP
• CP = (100/100 + Gain%) × SP
• SP = (100 + Loss%/100) × CP
• CP = (100/100 + Loss%) × SP

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