Anju spends 16% of her monthly income on rent, 22% of it on groceries, 14% of it on children's education and 60% of the remaining on other item. If ₹ 22,852 is left with her at the end of the month, then what is her monthly income (in ₹)?

Correct option is C

Given:

Anju spends:

16% on rent

22% on groceries

14% on children's education

60% of the remaining on other items

Amount left with her = ₹ 22,852

Solution:

Let Anju’s monthly income be ₹X.

​Expenses:

Rent = 16% of X

Groceries = 22% of X

Children’s education = 14% of X

Remaining amount:
X = X - (16% + 22% + 14%) $$\times X = X - 52\% \times X = 48\% \times X$$​​

Amount spent on other items:
60% of 48% of X = 28.8% of X

Amount left with Anju:
​$$X - (52\% \times X + 28.8\% \times X) = 19.2\% \times X$$​​

Given that 19.2% of X = ₹22,852
X =$$\frac{22,852}{0.192} = ₹1,19,020$$​​

Hence, Anju’s monthly income is ₹1,19,020.

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