I spent $\frac{1}{8}$ of my money on a dress, $\frac{1}{5}$ on a book, and $\frac{1}{3}$ of the remainder on a toy. Then I bought 3 similar notepads with the rest of the money. What fraction of the money was the cost of each notepad?

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Solution

Let the total money is Rs. $x$
Money spent on the dress $= \frac{x}{8}$

Money spent on a book $= \frac{x}{5}$

Remaining amount $= x - \frac{x}{8} - \frac{x}{5}$
$= \frac{40 x - 5 x - 8 x}{40}$
$= \frac{27 x}{40}$

$\frac{1}{3}$ of this remaining amount is spent on a toy.

Now, the remaining amount $= \frac{27 x}{40} - \frac{1}{3} \times \frac{27 x}{40}$
$= \frac{27 x}{40} - \frac{9 x}{40}$

$= \frac{27 x - 9 x}{40}$

$= \frac{18 x}{40}$

Now, $R s . \frac{18 x}{40}$ are used to buy three notepads.

So, price of one notepad $= \frac{1}{3} \times \frac{18 x}{40}$
$= \frac{6 x}{40}$

$= \frac{3 x}{20}$

So, $\frac{3}{20}$ of the total money was the cost of each notepad.

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I spent 18 of my money on a dress, 15 on a book, and 13 of the remainder on a toy. Then I bought 3 similar notepads with the rest of the money. What fraction of the money was the cost of each notepad?

I spent $\frac{1}{8}$ of my money on a dress, $\frac{1}{5}$ on a book, and $\frac{1}{3}$ of the remainder on a toy. Then I bought 3 similar notepads with the rest of the money. What fraction of the money was the cost of each notepad?