An article is sold for Rs. 560 after two successive discounts of 30% and 20%. What is marked price of the article?

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 15 March, 2023 Shift 1)
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  1. Rs. 1000
  2. Rs. 800
  3. Rs. 920
  4. Rs. 700

Answer (Detailed Solution Below)

Option 1 : Rs. 1000
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Detailed Solution

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Given:

Selling price of the article after two successive discounts = Rs. 560

First discount: 30%

Second discount: 20%

Formula used:

Selling price = Marked price - (Discount 1% × Marked price) - (Discount 2% × Marked price)

Calculation:

Let's solve the question:

Let the marked price of the article be "M".

Selling price after the first discount = M - (30/100)M = (70/100)M = 0.7M

Selling price after the second discount = 0.7M - (20/100)(0.7M) = (0.7M) - (0.14M) = 0.56M

Given that the selling price after the two discounts is Rs. 560, we can set up the equation:

0.56M = 560

To find the marked price (M), divide both sides of the equation by 0.56:

M = 560/0.56

M = 1000

Therefore, the marked price of the article is Rs. 1000.

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