Question

Out of her total income, Poonam spends 25% on house rent and 60% of the rest on household expenses. If she saves Rs 2100, what is her total income?​​

Answer 1

Answer:

answer is in the attachment.

Step-by-step explanation:

hope it helps you.

Answer 2

We can find the expression for the amount she saves (by letting a variable as income) and equate it to the amount she saves as given to find the value of total income.

Percentage in terms of a fraction can be written as:

a%=a100a%=a100

Complete step-by-step answer:

Let her total income be 100 x.

Spent on house rent = 23 %

=23100×100x23100×100x

= 23 x

Remaining income = 100 x – 23 x

Remaining income = 77 x

Spent on household = 60 % of the remaining income

This means 40 % of the remaining income is saved which is given as

40100×77x40100×77x ___________ (1)

Money saved = Rs. 2100 (Given) ___________ (2)

Equating (1) and (2) as one is the expression for saved money and other is its value, we get:

40100×77x=210040100×77x=2100

Calculating for x:

x=2100×10077×40x=2100×10077×40

x = 68.18

Total income = 100 x

= 68.18 X 100

= Rs. 6818

Therefore, the total income of Poonam is Rs. 6818

Note: In the cases of percentages, the quantity we let is generally taken as multiple of 100 to make the calculations easier because that multiple gets canceled with 100 in the denominator of the fraction in which the percentage is converted.

Another method to approach can be using:

Total income – Total expenses = Savings

and then substitute the respective values to find the income.