The marked price of a speaker is Rs. 1000. A man buys it at Rs. 873 after getting two successive discounts of 10% and x%. What is the value of x? 

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SSC MTS (2022) Official Paper (Held On: 09 May 2023 Shift 2)
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  1. 5%
  2. 8%
  3. 4%
  4. 3%

Answer (Detailed Solution Below)

Option 4 : 3%
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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Detailed Solution

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Given:

Marked price (MP) of the speaker = Rs. 1000

Final price after discounts = Rs. 873

First discount = 10%

Let second discount = x%

Formula:

Discounted Price = MP * (100 - Discount%) / 100

Solution:

After the first discount, the price of the speaker ⇒ Price after first discount = MP × (100 - Discount%) / 100 = 1000 × 90% = Rs. 900

The second discount was applied on Rs. 900, which led to the final price of Rs. 873.

Let's solve for x, the second discount:

⇒ 900 × (100 - x%) / 100 = 873

⇒ (100 - x%) = 873 / 900 × 100

⇒ 100 - x = 97%

⇒ x = 3%

Therefore, the second discount (x) is 3%.

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