संदीप अपनी वार्षिक आय का 32% भोजन पर, शेष आय का 20% यात्रा पर और शेष आय का 35% कपड़ों पर खर्च करता है और फिर भी प्रति वर्ष ₹70,720 बचाता है। संदीप की वार्षिक आय (₹ में) क्या है?

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 26 Jun, 2024 Shift 1)
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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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SSC Selection Post Phase 13 Matriculation Level (Easy to Moderate) Full Test - 01
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दिया गया है:

बचत = ₹70,720

भोजन व्यय = वार्षिक आय का 32%

यात्रा व्यय = शेष आय का 20%

कपड़े व्यय = शेष आय का 35%

प्रयुक्त सूत्र:

मान लीजिए वार्षिक आय x ₹ है। 

बचत = कुल आय - (भोजन व्यय + यात्रा व्यय + कपड़े व्यय)

गणना:

भोजन व्यय = 0.32 × x

भोजन के बाद शेष आय = x - 0.32x = 0.68x

यात्रा व्यय = 0.20 × 0.68x = 0.136x

यात्रा के बाद शेष आय = 0.68x - 0.136x = 0.544x

कपड़े व्यय = 0.35 × 0.544x = 0.1904x

कपड़ों के बाद शेष आय = 0.544x - 0.1904x = 0.3536x

बचत = 0.3536x

दी गई बचत = ₹70,720

⇒ 0.3536x = 70,720

⇒ x = 70,720 / 0.3536

⇒ x = 2,00,000

संदीप की वार्षिक आय ₹2,00,000 है।

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