सोहम का प्रारंभिक व्यय और बचत 5 ∶ 3 के अनुपात में थी। उसकी आय में 25% की वृद्धि हो जाती है। यदि उसकी प्रारंभिक बचत ₹4,500 थी, तो वृद्धि के बाद उसकी आय (₹ में) ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 27 Jul 2023 Shift 2)
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  1. 16000
  2. 15000
  3. 9375
  4. 12000

Answer (Detailed Solution Below)

Option 2 : 15000
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दिया गया है:

प्रारंभ में सोहम के व्यय और बचत का अनुपात = 5 : 3

प्रारंभिक बचत = 4500 रुपये

प्रयुक्त सूत्र:

आय = बचत + व्यय

गणना:

माना बचत और व्यय का प्रारंभिक अनुपात 3X और 5X है

⇒ 3X = 4500

X = 1500

प्रारंभिक आय = 3X + 5X = 8X = 1500 × 8 = 12000

वेतन वृद्धि के बाद आय = \({(1\ +{25\over100})}\ \times 12000 ={(1+{1\over4})}\times 12000={5\over4}\times 12000=5\times 3000 = 15000\)

∴ अभीष्ट परिणाम 15000 होगा।

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