Question

Christmas is on its way, so the price of a box of Thornton’s chocolates has been increased by 15%!! A box of Thornton’s Continental now costs £17.25. How much did it cost originally?

Answer 1

Given:

A box of Thornton’s Continental now costs £17.25

The price of a box of Thornton’s chocolates has been increased by 15%

To find:

How much did it cost originally?

Solution:

Let "x" be the original cost of the box of Thornton’s Continental chocolates.

∴ The price of the box of Thornton’s Continental chocolates after an increase of 15% will be,

= $x + 15\% \:of\:x$

= $x + [\frac{15}{100} \times x]$

= $x + 0.15x$

= $1.15x$

Also, now the cost of Thornton’s Continental chocolates is given as £ 17.25.

∴ $1.15x = 17.25$

$\implies x = \frac{17.25}{1.15}$

$\implies \bold{x = 15}$

Thus, the original cost of Thornton’s Continental chocolates was £ 15.

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