Question

After venu had spent 1/3 of his money at the book shop and some of it at canteen,he was left with 5/12 of his money what fraction of money was spent at the canteen?

Answer 1

Answer:

1/4 of his money

Step-by-step explanation:

Let the amount that Venu had at the beginning = x

Amount Venu spent at the book shop = 1/3 of x

Amount Venu has now = x - x/3

Let at the amount that Venu spent at the canteen = y

Amount Venu has now = x - x/3 - y

Given amount Venu was left with = 5/12 of x

x - x/3 - y = 5x/12

3x - x - 3y = 5x/4

2x - 3y = 5x/4

=> 8x - 12y = 5x

=> 8x - 5x = 12y

=> 12y = 3x

=> y = 3/12 * x

=> y = 1/4 * x

=> y = 1/4 of x

So, Venu used 1/4 of his money at the canteen.

Answer 2

Answer:

The fraction of money he spend on canteen was $\frac{1}{4}th$ of his money.

Step-by-step explanation:

In this question,

We have been given that,

Venu spent $\frac{1}{3}rd$ of his money at the book shop and some amount at canteen, after spending he was left with $\frac{5}{12}th$ of his money

We need to find the amount spent at canteen.

Let us assume total amount of money be x.

Amount spent at book shop is $\frac{x}{3}$

Let the amount of money spent on canteen be y

Amount of money she left after spending = $\frac{5x}{12}$

Therefore, according to the question

$\frac{x}{3}\ +\ y\ +\ \frac{5x}{12}\ =\ x$

Taking L.C.M and solving we get,

$y\ +\ \frac{9x}{12}\ =\ x$

$y\ =\ x\ -\ \frac{9x}{12}$

$y\ =\ \frac{3x}{12}$

$y\ =\ \frac{x}{4}$

Therefore, money spent on canteen is $\frac{1}{4}th$ of the total money.