What is the equivalent single discount of two successive discounts of 12% and 10%?

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SSC MTS Memory Based Test (Held on: 10 May 2023 Shift 1)
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  1. 18 percent
  2. 20 percent
  3. 18.5 percent
  4. 20.8 percent

Answer (Detailed Solution Below)

Option 4 : 20.8 percent
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

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Given:

Two successive discounts of 12% and 10%.

Formula Used:

Equivalent discount = 100% - [(100% - discount1) × (100% - discount2)]/100%

where discount1 and discount2 are the two successive discounts given.

Solution:

Substituting discount1 = 12% and discount2 = 10% in the formula, we get:

Equivalent discount = 100% - [(100% - 12%) × (100% - 10%)]/100%

= 100% - [(88%) × (90%)]/100%

= 100% - 79.2%         

= 20.8%

Therefore, the equivalent single discount of two successive discounts of 12% and 10% is 20.8%.

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