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)

A

20000

B

25000

C

15000

D

16000

Video Solution

Text Solution

Verified by Experts

The correct Answer is:a

Let the one month salary of Mr Sumanth be Rs x.
According to the problem
$\frac{2 x}{5} + \frac{x}{4} + 2000 + 5000 = x$ $\frac{8 x + 5 x}{20} + 7000 = x$
$\frac{13 x}{20} - x = - 7000$
$\Rightarrow \frac{13 x - 20 x}{20} = - 7000$
$\Rightarrow \frac{- 7 x}{20} = - 7000$
$\frac{x}{20} = 1000$
$x = 20, 000$
Hence, the correct option is (a)

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Updated on:21/07/2023

Class 7 MATHS EQUATIONS AND THEIR APPLICATIONS

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