A and B invest in a business in the ratio 2 : 5. If 50% of the total profit goes to charity and A’s share is Rs. 3.6 lakhs, then the total profit is Rs ________ lakhs.
25.2
Since 50% goes to charity, A and B share the remaining 50% in their investment ratio 2 : 5.
A's share corresponds to 2 of the 7 parts of the distributed half:
\[\tfrac{2}{7}\times\tfrac{1}{2}P=3.6\implies P=3.6\times\tfrac{7}{2}\times 2=25.2\text{ lakhs}\]
Therefore total profit = Rs. 25.2 lakhs.
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