एक व्यक्ती आपल्या उत्पन्नाचा 60% खर्च करतो. त्याचे उत्पन्न 30% ने वाढले आणि त्याने आपला खर्च 20% ने वाढवला. तर त्याच्या बचतीत होणारी शेकडा वाढ असेल:

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 25 Jun, 2024 Shift 4)
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  1. 48%
  2. 45%
  3. 46%
  4. 42%

Answer (Detailed Solution Below)

Option 2 : 45%
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दिलेले आहे:

एक व्यक्ती आपल्या उत्पन्नाचा 60% खर्च करतो. त्याचे उत्पन्न 30% ने वाढले आणि त्याने आपला खर्च 20% ने वाढवला. तर त्याच्या बचतीत होणारी शेकडा वाढ:

वापरलेले सूत्र:

प्रारंभिक बचत = उत्पन्न - खर्च

नवीन बचत = नवीन उत्पन्न - नवीन खर्च

बचतीतील शेकडा वाढ = [(नवीन बचत - प्रारंभिक बचत)/प्रारंभिक बचत] × 100

गणना:

समजा, प्रारंभिक उत्पन्न 100 आहे.

प्रारंभिक खर्च = 100 च्या 60% = 60

प्रारंभिक बचत = 100 - 60 = 40

नवीन उत्पन्न = 100 + 100 च्या 30% = 100 + 30 = 130

नवीन खर्च = 60 + 60 च्या 20% = 60 + 12 = 72

नवीन बचत = 130 - 72 = 58

बचतीतील शेकडा वाढ = \(\dfrac{58 - 40}{40} \times 100\)

\(\dfrac{18}{40} \times 100\)

45%

∴ पर्याय (2) योग्य आहे.

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