A) 56: 99: 69
B) 69: 56: 99
C) 99: 56: 69
D) 99: 69: 56
Correct Answer: A
Solution :
Income of A, B and C are Rs. 7x, Rs. 9x and Rs. 12x and their spending are Rs. 8y, Rs. 9y and Rs. 15y. \[\therefore \] A's saving \[=Rs.\text{(}7x-8y\text{)}\] But A's saving \[=Rs.\frac{7x}{4}\] \[7x-8y=\frac{7x}{4}\] \[\Rightarrow \] \[21x=32y\] \[\Rightarrow \] \[x=\frac{32}{21}y\] B's saving \[=Rs.(9x-9y)=9\left( \frac{32}{21}-1 \right)y\] \[=Rs.\frac{99}{21}y\] and C's saving \[=Rs.\left( \frac{12\times 32}{21}-15 \right)y\] \[=Rs.\frac{69}{21}y\] \[\therefore \] Ratio of their saving \[=\frac{8}{3}y:\frac{99}{21}y:\frac{69}{21}y\] \[=\text{ }56:\text{ }99:\text{ }69\]
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