Last year, the ratio between the salaries of A and B was 3 : 4. But the ratios of their individual salaries between last year and this year were 4 : 5 and 2 : 3 respectively. If the sum of their present salaries is Rs. 4160, then how much is the salary of A now ?
A. Rs. 1040
B. Rs. 1600
C. Rs. 2560
D. Rs. 3120
Answer: Option B
Solution(By Examveda Team)
let the salaries of A and B last year be Rs. 3x and Rs. 4x respectively.Then,
$$\eqalign{ & {\text{A's present salary}} \cr & = {\text{Rs}}.\left( {\frac{5}{4} \times 3x} \right) \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{15x}}{4}} \right) \cr & {\text{B's present salary}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{3}{2} \times 4x} \right) \cr & = {\text{Rs}}.6x. \cr & \therefore \frac{{15x}}{4} + 6x = 4160 \cr & \Rightarrow 39x = 4160 \times 4 \cr & \Rightarrow x = \frac{{4160 \times 4}}{{39}} \cr & {\text{So,}} \cr & {\text{A's present salary}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{15}}{4} \times \frac{{4160 \times 4}}{{39}}} \right) \cr & = {\text{Rs}}.1600 \cr} $$
Join The Discussion
Comments ( 1 )
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
Why the ratios are taken in reverse