A) \[56:99:69\]
B) 69 : 56 : 99
C) 99 : 56 : 69
D) 99 : 69 : 56
Correct Answer: A
Solution :
By given condition, if 7 x be the income of A, then \[\frac{1}{4}\times 7x\] is the savings. \[\Rightarrow \] \[7x-8y=\frac{7}{4}\cdot x\] \[\Rightarrow \] \[y=\frac{21}{32}\cdot x\] \[\therefore \] Savings of \[B=9x-9y=9\,(x-y)\] \[=9\left( x-\frac{21}{32}\cdot x \right)\] \[=\frac{9\times 11x}{32}=\frac{99x}{32}\] and saving of \[C=12x-15y\] \[=12x-15\times \frac{21}{32}x=\frac{69x}{32}\] \[\therefore \] Required ratio \[=\frac{7x}{4}:\frac{99}{32}x:\frac{69}{32}x\] \[=56:99:69\]
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