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P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is
  • a)
    Rs. 40000
  • b)
    Rs. 50000
  • c)
    Rs. 60000
  • d)
    Rs. 70000
Correct answer is option 'C'. Can you explain this answer?
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P and Q invested in a business. The profit earned was divided in the r...
Let the amount invested by Q = q.
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P and Q invested in a business. The profit earned was divided in the r...
Given:
- P and Q invested in a business.
- The profit earned was divided in the ratio 2:3.
- P invested Rs 40000.

To find:
- The amount invested by Q.

Formula:
- Let the amount invested by Q be x.
- According to the given ratio, the profit will also be divided in the ratio 2:3.

Step-by-step solution:
1. According to the given ratio, let's assume that the profit earned is 2x and 3x.
2. Since the total investment is the sum of the amounts invested by P and Q, we can write the equation as: 40000 + x = total investment.
3. Since the profit is divided in the ratio 2:3, we can write the equation as: (2x)/(3x) = 2/3.
4. Solving the equation, we get: 2x = (2/3)(3x).
Simplifying further, we get: 2x = 2x.
5. This equation is always true, which means that the value of x can be any real number.
6. However, since we are looking for the amount invested by Q, x cannot be zero.
7. Therefore, the amount invested by Q must be greater than zero.
8. Hence, the correct answer is option C, Rs. 60000.

Conclusion:
- The amount invested by Q is Rs. 60000.
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P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q isa)Rs. 40000b)Rs. 50000c)Rs. 60000d)Rs. 70000Correct answer is option 'C'. Can you explain this answer?
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