A and B invested money in a business in the ratio of 7 : 5. If 15% of the total profit goes for charity, and A’s share in the profit is Rs. 5,950, then what is the total profit?
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ssc cgl 2023 pre
Rs. 12,500
Incorrect AnswerRs. 12,000
Correct AnswerRs. 10,500
Incorrect AnswerRs. 11,750
Incorrect AnswerExplanation:
- A and B share profits in the ratio 7:5.
- Together, they make 12 parts in total profit.
- A’s profit share: \( \frac{7}{12} \) of total profit after charity.
- 15% of total profit is donated to charity.
- Remaining profit: 85% of total profit, distributed between A and B.
- A’s share (Rs. 5,950)= \( 0.85 \times \frac{7}{12} \times \text{Total Profit} \).
- So, \( \frac{7}{12} \times 0.85 \times \text{Total Profit} = 5,950 \).
- Solving the equation gives Total Profit = Rs. 12,000.
Therefore, the correct answer is:
- Option 2: Rs. 12,000
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By: Parvesh Mehta