Calculate the original price of these items before the percentage changes shown. Show all of your working.

a) A coat that costs £46.50
after a 7% price reduction

b) A jumper that costs £32.80 after a price increase of
6%

50 and 30.94

Step-by-step explanation:

The coat cost 46.5 pounds after a 7 percent reduction

so we can write:

using the proprtionality relation:

x= (100*46.5)/93 = 50

so the initial price of the coat is 50 pounds

The jumper costs 32.8 pounds after an increase of 6 percent

so:

using proportionality:

x= (100*32.8)/106 = 30.94

the initial price is 30.94 pounds

a. £50

b. £30.94

Step-by-step explanation:

100-7=93

x×93/100=46.50

x×93=46.50×100=4650

x=4650/93=50 £

b.

100+6=106

y×106/100=32.80

y×100=32.80×100=3280

y=3280/106≈30.94£

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.