Question

Kuldeep had a sum of money. He saved 1/4 of it. He spent 4/9 of the remaining on a suitcase.
a) What fraction of his money was spent on the suitcase?
b) What fraction of his money was left?
Explain step by step​

Answer 1

Answer:

Fraction of his money was spent on the suitcase = \frac{1}{3}

3

1

Fraction of his money was left = \frac{5}{12}

12

5

Explanation:

Given, \frac{1}{4}

4

1

of his money were saved,

Thus, remaining money after saving= (1-\frac{1}{4})\text{ of the total money}=\frac{3}{4}\text{ of the total money}=(1−

4

1

) of the total money=

4

3

of the total money

Now, four by nine of the remaining money were spent on a suitcase,

So, the total money spent on suitcases = \frac{4}{9}\text{ of the remaining money}=\frac{4}{9}\times \frac{3}{4}\text{ of the total money}=\frac{1}{3}\text{ of the total money}=

9

4

of the remaining money=

9

4

×

4

3

of the total money=

3

1

of the total money

∴ Fraction of his money was spent on the suitcase = \frac{1}{3}

3

1

Since, the money he have left finally = Total money - ( Total saving + Total spending on suitcases )=(1-\frac{1}{4}-\frac{1}{3})\text{ of the total money}=\frac{12-3-4}{12}\text{ of the total money}=\frac{5}{12}\text{ of the total money}=(1−

4

1

−

3

1

) of the total money=

12

12−3−4

of the total money=

12

5

of the total money

∴ Fraction of his money was left = \frac{5}{12}

12

5

$\sf{ \green{Hope \ it \ helps}}$