Question

if a lady spends 2/5 of her income on rent and 2/3 of what is left is spent on food and other expenses, what portion of her income does she save​

Answer 1

Given:

• a lady spends 2/5 of her income on rent
• 2/3 of what is left is spent on food and other expenses

To find:

The portion of the income she saves.

Solution:

1) Let the income of the lady is 15 units.

2) Money spent on rent is given by

• 2/5 of 15 unit
• 6 unit

The money left is 9 units.

3) Money spent on food and other expenses

• 2/3 of 9 units
• 6 units.

The money left is 3 units.

4)The Portion of the income

• Money left/ total income
• 3/15
• 1/5

The lady saves 1/5th of her income.

Answer 2

Answer:

1/5

Step-by-step explanation:

Lady spent on rent: 2/5

She didnt spent on rent: 1- 2/5

                                      =5/5  -  2/5

                                        = 3/5

Lady spent on food and other expenses: 2/3

She didnt spent on food and other expenses: 1- 2/3

                                                                          = 3/3 - 2/3

                                                                          =  1/3

She saves:  3/5 x 1/3

                  =1/5

∴Therefore, she saves 1/5 of her income.