श्रीमान X की मासिक आय $26,500 है और उसका मासिक व्यय $20,500 है। अगले वर्ष, उसके वेतन में 12% की वृद्धि होती है और व्यय में 6% की वृद्धि होती है। उसकी बचत में कितने प्रतिशत की वृद्धि होती है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. 32.5%
  2. 27.3 %
  3. 32.0 %
  4. 34.7 %

Answer (Detailed Solution Below)

Option 1 : 32.5%
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दिया गया है:

मूल आय = $26,500

मूल व्यय = $20,500

आय में प्रतिशत वृद्धि = 12%

व्यय में प्रतिशत वृद्धि = 6% 

प्रयुक्त सूत्र:

उसकी बचत में वृद्धि का प्रतिशत: (बचत में परिवर्तन/मूल बचत) × 100

गणना:

मूल बचत = $(26,500 – 20,500)

⇒ $6,000

नई आय = मूल आय + आय में वृद्धि = $26 ,500 + $ 26,500 का 12%

⇒ $29,680

नया व्यय = मूल व्यय + व्यय में वृद्धि = $20,500 + $20,500 का 6%

$21,730

नई बचत = नई आय – नया व्यय = $(29,680 – $21,730)

⇒ $7950 

बचत में परिवर्तन = नई बचत – मूल बचत = $(7950 – 6,000) 

$1,950

उसकी बचत में वृद्धि का प्रतिशत = (1950/6,000) × 100

⇒ 32.5%

∴ अभीष्ट उत्तर 32.5% है।

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