| A and B invested in a business in the ratio 5: 2. If 9% of total profit goes to charity and A's share is Rs. 650, the total profit is |
A) Rs. 1000
B) Rs. 1200
C) Rs. 900
D) Rs. 1500
Correct Answer: A
Solution :
| Let total profit be Rs. x, |
| After charity, remaining profit |
| \[=x-\frac{x\times 9}{100}=Rs.\,\frac{91x}{100}\] |
| Now, A's share \[=\frac{5}{(5+2)}\times \frac{91x}{100}\] |
| \[\Rightarrow \] \[650=\frac{5}{7}\times \frac{91x}{100}\] |
| \[\Rightarrow \] \[x=\frac{650\times 7\times 100}{5\times 91}=1000\] |
| \[\therefore \] \[x=Rs.\,1000\] |
| So, total profit is Rs. 1000. |
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