A, B आणि C ने एका वर्षाच्या सुरुवातीला, एका व्यवसायात अनुक्रमे 40,000 रुपये, 48,000 रुपये  आणि 80,000 रुपयांची गुंतवणूक केली. सहा महिन्यांनंतर, वर्षाच्या उर्वरित कालावधीसाठी, A ने दरमहा 4,000 रुपये जोडले, B ने दरमहा 4,000 रुपये जोडले, तर C ने दरमहा 4,000 रुपये काढले. एकूण नफा 6,72,000 रुपये असल्यास, त्यातील C चा हिस्सा (रुपयांमध्ये) किती?

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SSC CGL 2021 Tier-I (Held On : 12 April 2022 Shift 3)
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  1. 1,96,750
  2. 1,80,480
  3. 2,11,200
  4. 2,80,320

Answer (Detailed Solution Below)

Option 4 : 2,80,320
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दिलेले आहे:

A, B, आणि C ने अनुक्रमे  40,000 रुपये , 48,000 रुपये आणि 80,000 रुपयांची गुंतवणूक केली.

एकूण नफा = 672000 रुपये  

गणना:

सहा महिन्यांनंतर, वर्षाच्या उर्वरित कालावधीसाठी, A ने 4000 रुपये जोडले, B ने 4000 रुपये  जोडले आणि C ने दरमहा 4000 रुपये  काढले.

तर, (4000 × 6) + (4000 × 5) + (4000 × 4) + (4000 × 3) + (4000 × 2) + (4000 × 1) = 4000 × 21 = 84000

A : B : C = [(40000 × 12) + 84000] : [(48000 × 12) + 84000] : [(80000 × 12) - 84000]

= (480000 + 84000) : (576000 + 84000) : (960000 - 84000)

= 564000 : 660000 : 876000

= 564 : 660 : 876

C चा हिस्सा = [876/(564 + 660 + 876)] × 672000

= (876/2100) × 672000

= 280320

∴ C चा हिस्सा  280320 रुपये  आहे

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