A and B invested money in a business in the ratio of 2:3. If 10% of the total profit goes to charity and A's share in the profit is ₹4,500, then what is the total profit?
- A₹13,000
- B₹12,500
- C₹12,000
- D₹13,500
Solution & Step-by-step Explanation
Let the total profit be P.
Since 10% goes to charity, the remaining profit distributed between A and B is 90% of P:
Remaining Profit=0.9P
The remaining profit is shared between A and B in the ratio 2:3.
Therefore, A's share is:
A’s share=
2+3
2
×0.9P=
5
2
×0.9P=0.36P
Given that A's share is ₹4,500:
0.36P=4500
P=
0.36
4500
=
36
450000
=12,500
Therefore, the total profit is ₹12,500.
Since 10% goes to charity, the remaining profit distributed between A and B is 90% of P:
Remaining Profit=0.9P
The remaining profit is shared between A and B in the ratio 2:3.
Therefore, A's share is:
A’s share=
2+3
2
×0.9P=
5
2
×0.9P=0.36P
Given that A's share is ₹4,500:
0.36P=4500
P=
0.36
4500
=
36
450000
=12,500
Therefore, the total profit is ₹12,500.