A fashion store is having a sale advertising 'one third' off all prices. If a pair of trousers costs £54.24 in the sale, what did it cost before?

162.72

Step-by-step explanation:

Let's take the final price as x

What has been said is that before the sale, the price had been 3x, since the price would be three time higher. After the sale we divide the price by 3 and get price in the question. So, 53.24 multiplied by three is equal to the initial price before the sale. 1/3, just means that everything is cut off 3 times. You can prove this be adding 54.24, the price now, with two times itself or just multiplying 54.24 by three.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.