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The investment made by P and Q are in the ratio 3 ∶ 2, if 5% of the total profit is donated and P gets Rs. 8550 as his share of profit then what is the total amount of profit?
  • a)
    Rs. 10500
  • b)
    Rs. 10000
  • c)
    Rs. 12500
  • d)
    Rs. 15000
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The investment made by P and Q are in the ratio 3 2, if 5% of the tot...
Let total profit be 100x
⇒ Donated amount = 5x
⇒ Remaining amount = 95x
Investment made by P and Q are in the ratio 3 ∶ 2
⇒ Profit share by P = 3/5 × 95x = 57x
⇒ Profit share by Q = 2/5 × 95x = 38x
⇒ 57x = 8550
⇒ x = 150
⇒ Investment made by Q = 38x = Rs. 5700
⇒ Profit, 95% = Rs. 14250
∴ Total profit = 100% = Rs. 15000
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Most Upvoted Answer
The investment made by P and Q are in the ratio 3 2, if 5% of the tot...
Understanding the Profit Distribution
P and Q have invested in a ratio of 3:2. This means for every 5 parts of investment, P contributes 3 parts, and Q contributes 2 parts.
Calculating Shares of Profit
When the total profit is made, 5% of it is donated. Therefore, 95% of the profit is distributed between P and Q based on their investment ratio.
Profit Share for P
Given that P's share of the profit is Rs. 8550, this amount represents 95% of the total profit multiplied by P's ratio share:
- Let the total profit be X.
- The amount received by P can be expressed as:
P's Share = (3/5) * (95% of X)
This simplifies to:
8550 = (3/5) * 0.95 * X
Solving for Total Profit
To find the total profit (X), we rearrange the equation:
1. Multiply both sides by 5:
8550 * 5 = 3 * 0.95 * X
42750 = 2.85 * X
2. Divide both sides by 2.85:
X = 42750 / 2.85
X = 15000
Thus, the total profit is Rs. 15000.
Conclusion
The total amount of profit is Rs. 15000, confirming option 'D' as the correct answer.
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The investment made by P and Q are in the ratio 3 2, if 5% of the total profit is donated and P gets Rs. 8550 as his share of profit then what is the total amount of profit?a)Rs. 10500b)Rs. 10000c)Rs. 12500d)Rs. 15000Correct answer is option 'D'. Can you explain this answer?
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The investment made by P and Q are in the ratio 3 2, if 5% of the total profit is donated and P gets Rs. 8550 as his share of profit then what is the total amount of profit?a)Rs. 10500b)Rs. 10000c)Rs. 12500d)Rs. 15000Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The investment made by P and Q are in the ratio 3 2, if 5% of the total profit is donated and P gets Rs. 8550 as his share of profit then what is the total amount of profit?a)Rs. 10500b)Rs. 10000c)Rs. 12500d)Rs. 15000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The investment made by P and Q are in the ratio 3 2, if 5% of the total profit is donated and P gets Rs. 8550 as his share of profit then what is the total amount of profit?a)Rs. 10500b)Rs. 10000c)Rs. 12500d)Rs. 15000Correct answer is option 'D'. Can you explain this answer?.
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