A, B और C ने एक वर्ष की शुरुआत में एक व्यवसाय के लिए क्रमशः ₹40,000, ₹48,000 और ₹80,000 का निवेश किया। छह महीने के बाद, वर्ष के शेष समय के लिए, A ने प्रतिमाह ₹4,000 जोड़े, B ने प्रतिमाह ₹4,000 जोड़े जबकि C ने प्रतिमाह ₹4,000 निकाले। यदि कुल लाभ ₹6,72,000 है, तो C का हिस्सा (₹ में) कितना है?

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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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दिया गया है:

A, B और C ने क्रमशः ₹40000, ₹48000 और ₹80000 का निवेश किया

कुल लाभ = ₹ 672000

गणना:

छह महीने के बाद, वर्ष के शेष समय के लिए, A ने प्रतिमाह ₹4000 जोड़े, B ने प्रतिमाह ₹4000 जोड़े और C ने प्रतिमाह ₹4000 निकाले।

इसलिए, (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 का हिस्सा = [876/(564 + 660 + 876)] × 672000

= (876/2100) × 672000

= 280320

∴ C का हिस्सा ₹280320 है। 

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