वैदिक की मासिक आय और व्यय के बीच का अनुपात 8 ∶ 5 है। यदि उसकी आय 20% बढ़ जाती है और उसका व्यय 30% बढ़ जाता है, तो उसकी मासिक बचत में प्रतिशत वृद्धि या कमी ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 4)
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  1. % वृद्धि
  2. कमी
  3. वृद्धि
  4. % कमी

Answer (Detailed Solution Below)

Option 3 : वृद्धि
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दिया गया है:

वैदिक की मासिक आय और व्यय के बीच का अनुपात 8 ∶ 5 है।

उसकी आय 20% बढ़ जाती है और उसका व्यय 30% बढ़ जाता है। 

गणना:

माना, वैदिक की मासिक आय और व्यय क्रमशः 8a और 5a है।

बचत = 8a - 5a = 3a

अगले वर्ष से आय में वृद्धि,

I = 8a(1 + 20%)

⇒ I = 8a(1 + 0.20)

⇒ I = 9.6a

अगले वर्ष से व्यय में वृद्धि,

E = 5a(1 + 30%)

⇒ E = 5a(1 + 0.30)

⇒ E = 5a(1.30) = 6.5a रुपये

अगले वर्ष से बचत,

S = 9.6a - 6.5a = 3.1a रुपये

बचत में कुल वृद्धि,

S% = [(3.1a - 3a/3a)] × 100

⇒ S% = 10/3

⇒ S = 3(1/3)

∴ उसकी बचत में 3(1/3)% की वृद्धि होती है। 

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