An article is listed at ₹1,200. A customer pays ₹972 for it after getting two successive discounts. If the rate of the first discount is 10%, then the rate of the second discount is:

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SSC GD Constable (2022) Official Paper (Held On : 12 Jan 2023 Shift 3)
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  1. 14%
  2. 10%
  3. 16%
  4. 12%

Answer (Detailed Solution Below)

Option 2 : 10%
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Detailed Solution

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Given data:

Listed price = ₹1,200

After discounts, price paid = ₹972

Rate of the first discount = 10%

Concept Used:

Successive discounts imply a discount on the discounted price.

So, after the first discount,

the price becomes (100% - 10%) of the original price.

The second discount is applied to this price.

Calculation:

⇒ Price after the first discount = 1,200 × (1 - 10/100) = ₹1,080

⇒ Second discount rate = (1 - 972/1080) × 100% ≈ 10%

Hence, the rate of the second discount is approximately 10%.

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