Mr Sumanth spends two-fifth of his salary on house rent and one-fouth on food. After spending Rs 2000 on miscellaneous, if he could save an amount of Rs 5000, then find his monthly income (in Rs)

Options

A. 20000
B. 25000
C. 15000
D. 16000

Answer

a

Explanation

Let the one month salary of Mr Sumanth be Rs x.
According to the problem
`(2x)/(5) + (x)/(4) + 2000 + 5000 = x` ,brgt `(8x + 5x)/(20) + 7000 = x`
`(13x)/(20) - x = -7000`
`rArr (13x - 20x)/(20) = - 7000`
`rArr (-7x)/(20) = -7000`
`(x)/(20) = 1000`
`x = 20,000`
Hence, the correct option is (a)