Multiple choice

Ajay, Vikas and Manav enter into a partnership. Vikas invests some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ajay after 8 months. They earn a profit of Rs. 45,000 at the end of the year. What is Manav's share in the profit?

  1. Rs. 25,000

  2. Rs. 15,000

  3. Rs. 12,000

  4. Rs. 9,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Ajay's investment be x. Vikas invests y for 6 months and 2y for next 6 months. Manav invests 3x for 4 months. If y=x for proportionality: Ajay's capital=12x, Vikas's capital=6x+12x=18x, Manav's capital=12x. Total=42x. Manav's share=(12/42)×45000=Rs.12857. If Vikas invests x/2 then 2x(x/2=2x): Ajay=12x, Vikas=3x+12x=15x, Manav=12x. Total=36x. Manav's share=(12/36)×45000=Rs.15000.

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