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Raj and Prithvi both started a business together, in which Raj invests X and Prithvi invests (X + 2000). At the end of one year, the total…

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Raj and Prithvi both started a business together, in which Raj invests X and Prithvi invests (X + 2000). At the end of one year, the total profit earned was 8,400, from which Raj?s share was 3,600/ How much had Prithvi invested in the business ?
  • A16,400/-
  • B12,000/-
  • C12,500/-
  • D8,000/-
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CCommunity
Solution
Ratio of investments of Raj and Prithvi = $x : (x + 2000)$
Total profit = Rs. 8,400
Acc to ques,
=> $\frac{x}{x + x + 2000} \times 8400 = 3600$
=> $\frac{x}{2x + 2000} = \frac{36}{84}$
=> $\frac{x}{2x + 2000} = \frac{3}{7}$
=> $7x = 6x + 6000$
=> $x = 6000$
$\therefore$ Amount invested by Prithvi = 6000 + 2000
= Rs. 8,000
0
CCommunity
Solution
Ratio of investments of Raj and Prithvi = $x : (x + 2000)$
Total profit = Rs. 8,400
Acc to ques,
=> $\frac{x}{x + x + 2000} \times 8400 = 3600$
=> $\frac{x}{2x + 2000} = \frac{36}{84}$
=> $\frac{x}{2x + 2000} = \frac{3}{7}$
=> $7x = 6x + 6000$
=> $x = 6000$
$\therefore$ Amount invested by Prithvi = 6000 + 2000
= Rs. 8,000