Question

out of her total monthly income,mrs saxena spends 30% on house rent and 60% of the rest on house hold expenses. if she saves 6300 per month,what is her monthly income?

Answer 1

Let Monthly Income is=x

On House Rent=30%

On Rent She spent=30% of x

=30/100×x
=3x/10

Rent=3x/10

Money LEFT=X-3X/10
=7x/10

Out of 7x/10 she use 70% on Household Things.

=7x/10×60/100
=49x/100
=21x/50

Total Money Spent

3x/10+21x/50
=15x+21x/50
=36x/50

Money LEFT=x-36x/50
=50x-36x/50
=14x/50

She Saves=14x/50


Given Saving Money=6300

So, Both are Same.

$\frac{14x}{50} = 6300 \\ \\ x = 6300 \times \frac{50}{14}\\ \\ x =22500$

X is Total Income so , Income is 22500

$\boxed{\mathtt{\huge{Income=22,500}}}$

Answer 2

total monthly income is x

amt spent on house rent is 30% of x

= 30/100 ×

amt left after paying house rent is => x - 30/100 x

=> 70/100 ×

now amt spent on house hold is

60 % of *the rest* ( rest is 70/100×)

thus 60/100 × 70/100× = 4200/10000× (42/100×)

amt left after spending house hold expenses is

=70/100× - 42/100×

=28/100×

now amt left is also 6300

thus. 28/100×=6300

=> 28x= 6300×100

=> x = 6300×100

----------

28

=> x= 22500

hope u understand!