12% और 10% की दो क्रमिक छूटों के समतुल्य एकल छूट क्या है?

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

Answer (Detailed Solution Below)

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

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दिया गया है:

12% और 10% की दो क्रमिक छूट

प्रयुक्त सूत्र:

समतुल्य छूट = 100% - [(100% - छूट 1) × (100% - छूट 2)]/100%

जहाँ, छूट 1 और छूट 2 दी गई दो क्रमिक छूट हैं।

हल:

छूट 1 = 12% और छूट 2 = 10% को सूत्र में प्रतिस्थापित करने पर, हम प्राप्त करते हैं:

समतुल्य छूट = 100% - [(100% - 12%) × (100% - 10%)]/100%

= 100% - [(88%) × (90%)]/100%

= 100% - 79.2%

= 20.8%

इसलिए, 12% और 10% की क्रमिक दो छूटों के समतुल्य एकल छूट 20.8% है।

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