A) 401 : 544
B) 417 : 564
C) 407 : 560
D) 411 : 540
Correct Answer: A
Solution :
[a] Required ratio \[=\left( \frac{2}{5}+\frac{3}{7}+\frac{4}{9} \right):\left( \frac{3}{5}+\frac{4}{7}+\frac{5}{9} \right)\] \[=\left( \frac{2\times 7\times 9+3\times 5\times 9+4\times 5\times 7}{5\times 7\times 9} \right)\] \[:\left( \frac{3\times 7\times 9+4\times 5\times 9+5\times 5\times 7}{5\times 7\times 9} \right)\] \[=\left( \frac{126+135+140}{5\times 7\times 9} \right):\left( \frac{189+180+175}{5\times 7\times 9} \right)=401:544\] |
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