सचिन का वेतन पहले 16% कम किया गया है और बाद में 10% बढ़ाया गया है। उसका अंतिम वेतन उसके प्रारंभिक वेतन की तुलना में कितने प्रतिशत कम था?

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  1. 16%
  2. 7.6%
  3. 1.6%
  4. 10%

Answer (Detailed Solution Below)

Option 2 : 7.6%
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Detailed Solution

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दिया गया है:

सचिन का प्रारंभिक वेतन = 100 (सरलता के लिए आधार मान लें)

कमी प्रतिशत = 16%

बाद में वृद्धि प्रतिशत = 10%

प्रयुक्त सूत्र:

अंतिम वेतन = प्रारंभिक वेतन × (1 - कमी प्रतिशत) × (1 + वृद्धि प्रतिशत)

कमी प्रतिशत = ((प्रारंभिक वेतन - अंतिम वेतन) / प्रारंभिक वेतन) × 100

गणना:

अंतिम वेतन = 100 × (1 - 0.16) × (1 + 0.10)

⇒ अंतिम वेतन = 100 × 0.84 × 1.10

⇒ अंतिम वेतन = 92.4

कमी प्रतिशत = ((100 - 92.4) / 100) × 100

⇒ कमी प्रतिशत = (7.6 / 100) × 100

⇒ कमी प्रतिशत = 7.6%

∴ सही उत्तर विकल्प (2) है।

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