Ratios & Proportion
Aptitude

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Q.

One year ago, the ratio between $A$'s and $B$'s salary was $4:5$. The ratio of their individual salaries of last year and present year are $3:5$ and $2:3$ respectively. If their total salaries for the present year is Rs 6800, the present salary of $A$ is

 A.

Rs 4080

 B.

Rs 3200

 C.

Rs 4533.40

 D.

Rs 2720

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Solution:
Option(B) is correct

Ratio of $A$'s last year and present year salary = $3:5$

Let salary be $3x$ and $5x$ respectively.

Ratio of $B$'s in last year and present year salary = $2:3$

Let salary be $2y$ and $3y$ respectively.

Given that, \(\dfrac{3x}{2y}=\dfrac{4}{5}\)

$⇒ 15x=8y$ --------------- (i)

Also, given that, $5x+3y=6800$ --------------- (ii)

From equation (i) and (ii), we get

$y=1200$ and $x=640$.

$A$'s present salary \(= 5x=5\times 640= 3200 \)


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