किसी वस्तु के अंकित मूल्य पर 25% की तीन क्रमिक छूटें मिलकर कितनी समतुल्य एकल छूट (2 दशमलव स्थानों तक पूर्णांकित) के बराबर हैं?

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. 62.35%
  2. 60.25%
  3. 56.45%
  4. 57.81%

Answer (Detailed Solution Below)

Option 4 : 57.81%
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दिया गया है:

 25% की तीन क्रमिक छूटों के समतुल्य अनुमानित एकल छूट

प्रयुक्त सूत्र:

a% और b% की दो क्रमिक छूटों के समतुल्य एकल छूट है:

= (a + b - \(\frac{ab}{100}\))%

गणना:

यहाँ, a = 25%, और b =  25 %

इसलिए, एकल छूट, (25 + 25 - 25 × 25/100) %

⇒ (50 - 6.25) %

⇒ 43.75 %

पुनः,

यहाँ, a = 43.75 %, और b =  25 %

इसलिए, एकल छूट,

(43.75 + 25 - 43.75 × 25/100) %

⇒ (68.75 - 10.90) %

⇒ 57.81 % 

अनुमानित एकल छूट 57.81% है। 

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∴ अनुमानित एकल छूट 57.81% है।

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