A, B and C invested ₹40,000, ₹48,000 and ₹80,000, respectively, for a business at the start of a year. After six months, for the remaining time of the year, A added ₹4,000, B added ₹4,000 while C withdrew ₹4,000 every month. If the total profit is ₹6,72,000, then what is C's share (in ₹)?

LohaHridoy
  1. 1,96,750
  2. 1,80,480
  3. 2,11,200
  4. 2,80,320

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AhmedNazir

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Option 4 : 2,80,320

Given:

A, B, and C invested ₹40000, ₹48000, and ₹80000, respectively

The total profit = ₹ 672000

Calculation:

After six months, for the remaining time of the year, A added ₹4000, B added ₹4000 and C withdrew ₹4000 every month.

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

A : B : C = : :

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

= 564000 : 660000 : 876000

= 564 : 660 : 876

The share of C =  × 672000

= (876/2100) × 672000

= 280320

∴ C's share is ₹ 280320

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