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Two friends P and Q started a business investing in the ratio 5 : 6. R joined them after six months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to Rs. 98000. What was the amount invested by R?
  • a)
    Rs. 105000
  • b)
    Rs. 175000
  • c)
    Rs. 210000
  • d)
    Data inadequate
Correct answer is option 'C'. Can you explain this answer?
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Two friends P and Q started a business investing in the ratio 5 : 6. R...
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Two friends P and Q started a business investing in the ratio 5 : 6. R...
Given:
- P and Q started a business investing in the ratio 5:6
- R joined them after six months and invested an amount equal to that of Q's investment
- At the end of the year, a 20% profit was earned, which was equal to Rs. 98000

To find:
- The amount invested by R

Let's assume:
- The initial investments of P and Q are 5x and 6x respectively
- The amount invested by R is also 6x (equal to Q's investment)

Calculating the total investment:
- P's investment for the entire year = 5x * 12 = 60x
- Q's investment for the entire year = 6x * 12 = 72x
- R's investment for the entire year = 6x * 6 = 36x (as R joined after six months)

Total investment for the year = P's investment + Q's investment + R's investment
= 60x + 72x + 36x
= 168x

Calculating the profit earned:
- Profit = 20% of the total investment
= (20/100) * 168x
= 33.6x

Given that the profit earned is equal to Rs. 98000:
33.6x = 98000

Solving for x:
x = 98000 / 33.6
x ≈ 2916.67

Calculating the amount invested by R:
R's investment = 6x
= 6 * 2916.67
≈ Rs. 17500

Therefore, the amount invested by R is approximately Rs. 175000.
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Two friends P and Q started a business investing in the ratio 5 : 6. R joined them after six months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to Rs. 98000. What was the amount invested by R?a)Rs. 105000b)Rs. 175000c)Rs. 210000d)Data inadequateCorrect answer is option 'C'. Can you explain this answer?
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