रिया ₹3,840 की खरीदारी पर दी गई 30% की छूट या 25% और 5% की क्रमागत दो छूटों के बीच निर्णय नहीं कर सकी। दोनों छूटों के बीच कितना अंतर है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 1)
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  1. ₹44
  2. ₹48
  3. ₹42
  4. ₹46

Answer (Detailed Solution Below)

Option 2 : ₹48
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दिया गया है:

रिया ₹3,840 की खरीदारी पर दी गई 30% की छूट या 25% और 5% की क्रमागत दो छूटों के बीच निर्णय नहीं कर सकी। 

प्रयुक्त अवधारणा:

1. A% और B% की क्रमागत दो छूटों के बाद अंतिम छूट प्रतिशत \((A + B - {AB \over 100})\%\)

2. छूट = अंकित मूल्य × छूट%

गणना:

25% और 5% की क्रमागत दो छूटों के लिए अंतिम छूट% =\(25 + 5 - \frac {25 × 5}{100}\) = 28.75%

छूट% के बीच का अंतर = 30 - 28.75 = 1.25%

अब, छूट के बीच का अंतर = 3840 × 1.25% = ₹48

∴ दोनों छूटों के बीच का अंतर ₹48 है।

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