Question

Ranu's monthly salary is four-fifth of Ali's monthly salary. Ranu and Ali save one-fourth and two-fifth amount from their respective monthly salary. If the difference between the amount saved by Ranu and that saved by Ali is Rs. 7000, what is Ranu's monthly salary?

• A. Rs.30000
• B. Rs.35600
• C. Rs.35000
• D. Rs.28000
• E. Rs.21000

Answer 1

The correct option is D Rs.28000

Let Ranu's monthly salary be Rs. x
and Ali's monthly salary be Rs. y
Then, according to the question,
$x=\frac{4}{5}y\Rightarrow y=\frac{5x}{4}and\frac{2}{5}y-\frac{1}{4}x=7000\Rightarrow 8y-5x=7000\times 4\times 5\Rightarrow 8y-5x=140000[\because y=\frac{5x}{4}]\Rightarrow 10x-5x=140000\Rightarrow 5x=140000\Rightarrow x=Rs.28000$
Hence, Ranu's monthly salary is Rs. 28000