Alice and bob invest in a bussiness i the ratio 3:2 . If 5% of the total profit goes to charity and alice's share is rs 855 what is the total profit
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Given:
The ratio of Alice and Bob's investment=3:2
Profit went to charity=5%
Alice's share=Rs.855
To find:
The total profit in business
Solution:
The total profit in business is Rs. 1,500.
We can find the profit by following the given process-
We know that the profit shared between Alice and Bob is the remaining percentage of profit after charity.
Let the total amount of profit be P.
Now, 5% of the total profit went to charity.
The profit went to charity=5% of P
The remaining profit distributed between Alice and Bob=Total profit- Profit went to charity
Putting the values,
The remaining profit distributed between Alice and Bob=P-5% of P
=P-5P/100=(100P-5P)/100
=95P/100
Since the ratio of distributing profit between Alice and Bob is 3:2, Alice's share in total profit is 3/5 of the remaining profit.
So, Alice's share=3/5×95P/100
=3×19P/100
=57P/100
We know that lice's share=Rs.855
On equating, we get
57P/100=855
57P=85,500
P=85,500/57
P=Rs. 1,500
Therefore, the total profit in business is Rs. 1,500.