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Exercise 7 · Q6

Q.Prakash, Sachin and Anil started a business jointly investing ₹11 lakh, ₹16.5 lakh and ₹8.25 lakh respectively. The profit earned by them in the business at the end of 3 years was ₹19.5 lakh. What will be 50% of Anil's share in the profit?

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Capitals 11:16.5:8.25=4:6:311:16.5:8.25=4:6:3; Anil's share =313×19.5=4.5=\dfrac{3}{13}\times19.5=4.5 lakh, so 50% == ₹2.25 lakh.

Equal time for all ⇒\Rightarrow profit shared in the ratio of capitals: Share=own Capitaltotal Capital×Profit\text{Share}=\dfrac{\text{own Capital}}{\text{total Capital}}\times\text{Profit}.

  1. Capitals (in lakh): Prakash 1111, Sachin 16.516.5, Anil 8.258.25. All invested for the same 3 years, so time cancels.
  2. Ratio =11:16.5:8.25=11:16.5:8.25. Multiply by 4: 44:66:3344:66:33; divide by 11: 4:6:34:6:3; total parts =13=13.
  3. Anil's share =313×19.5=58.513=4.5=\dfrac{3}{13}\times19.5=\dfrac{58.5}{13}=4.5 lakh =2˘0b9450000=\u20b9450000. …

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