वैदिकचे मासिक उत्पन्न आणि खर्च यांचे गुणोत्तर 8 : 5 आहे. जर त्याचे उत्पन्न 20% नी आणि खर्च 30% नी वाढला, तर त्याच्या मासिक बचतीत शेकडा किती वाढ किंवा घट होईल?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 4)
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  1. \(5\frac{2}{3}\)% वाढ
  2. \(5\frac{2}{3}\)% घट
  3. \(3\frac{1}{3}\)% वाढ
  4. \(3\frac{1}{3}\)% घट

Answer (Detailed Solution Below)

Option 3 : \(3\frac{1}{3}\)% वाढ
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दिलेले आहे:

वैदिकचे मासिक उत्पन्न आणि खर्च यांचे गुणोत्तर 8 : 5 आहे.

त्याचे उत्पन्न 20% नी आणि खर्च 30% नी वाढतो.

गणना:

समजा, वैदिकचे मासिक उत्पन्न आणि खर्च अनुक्रमे 8a आणि 5a आहे.

बचत = 8a - 5a = 3a

पुढील वर्षापासून उत्पन्नातील वाढ,

I = 8a(1 + 20%)

⇒ I = 8a(1 + 0.20)

⇒ I = 9.6a रुपये

पुढील वर्षापासून खर्चातील वाढ,

E = 5a(1 + 30%)

⇒ E = 5a(1 + 0.30)

⇒ E = 5a(1.30) = 6.5a रुपये

पुढील वर्षापासून बचत,

S = 9.6a - 6.5a = 3.1a रुपये

बचतीतील एकूण वाढ,

S% = [(3.1a - 3a/3a)] × 100

⇒ S% = 10/3

⇒ S = 3(1/3)

∴ त्याच्या बचतीत 3(1/3)% वाढ होईल.

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