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A and B invest in a business in the ratio of $3 : 2$ . If $5$ % of total profit goes to charity and A's share is Rs. $8550$ . Find the total profit.

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Rs.

14000

Rs.

15000

Rs.

16000

Rs.

16500

answer is B.

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Detailed Solution

It is given A and B invest in a business in the ratio of

3 : 2

and

5

% of total profit goes to charity and A's share is Rs.

8550

.
Let Total Profit is Rs. 100.
After 5 % charity, profit = Rs 95.
So, share of A =

\frac{95}{5} \times 3

\Rightarrow

Rs. 57
Now, comparing,
A share

57

on profit

100

So, A's share 1 on profit

= \frac{100}{57}

Thus, A shares Rs.

8550

on =

\frac{8550}{57} \times 100

\Rightarrow

Rs . 15000

Hence, the correct option is (2) .

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