संदीप त्याच्या वार्षिक उत्पन्नातील 32% अन्नावर, 20% उर्वरित उत्पन्न प्रवासावर आणि 35% उर्वरित उत्पन्न कपड्यांवर खर्च करतो आणि तरीही तो दरवर्षी ₹70,720 वाचवतो. संदीपचे वार्षिक उत्पन्न (₹ मध्ये) किती आहे?

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  1. 4,50,000
  2. 5,44,000
  3. 2,00,000
  4. 3,75,000

Answer (Detailed Solution Below)

Option 3 : 2,00,000
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दिलेल्याप्रमाणे:

बचत = ₹70,720

अन्न खर्च = वार्षिक उत्पन्नाच्या 32%

प्रवास खर्च = उर्वरित उत्पन्नाच्या 20%

कपड्यांचा खर्च = उर्वरित उत्पन्नाच्या 35%

वापरलेले सूत्र:

वार्षिक उत्पन्न x ₹ असू द्या

बचत = एकूण उत्पन्न - (अन्न खर्च + प्रवास खर्च + कपड्यांचा खर्च)

गणना:

अन्न खर्च = 0.32 × x

अन्नानंतरचे उर्वरित उत्पन्न = x - 0.32x = 0.68x

प्रवास खर्च = 0.20 × 0.68x = 0.136x

प्रवास केल्यानंतर उरलेले उत्पन्न = 0.68x - 0.136x = 0.544x

कपड्यांचा खर्च = 0.35 × 0.544x = 0.1904x

कपड्यांनंतरचे उरलेले उत्पन्न = 0.544x - 0.1904x = 0.3536x

बचत = 0.3536x

दिलेली बचत = ₹70,720

⇒ 0.3536x = 70,720

⇒ x = 70,720 / 0.3536

⇒ x = 2,00,000

संदीपचे वार्षिक उत्पन्न ₹2,00,000 आहे.

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