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GCSE reverse percentages question

2

I find reverse percentages really easy but this question from the mathswatch cd has confused me a bit:

4) a Salesman gets a basic wage of £160 per week plus a commission of 30% of the sales he makes that week. In one week his total wage was £640. Work out the value of the sales he made that week.

I got:

640 - 160 = 480
480/70 = 6.8571428571429
6.857....x100 = £685.71

Is this right or have I done something wrong? the large amount of numbers after the decimal place has made me doubt myself

Reply 1

gdunne42

21

FullerClass

I find reverse percentages really easy but this question from the mathswatch cd has confused me a bit:

4) a Salesman gets a basic wage of £160 per week plus a commission of 30% of the sales he makes that week. In one week his total wage was £640. Work out the value of the sales he made that week.

I got:

640 - 160 = 480
480/70 = 6.8571428571429
6.857....x100 = £685.71

Is this right or have I done something wrong? the large amount of numbers after the decimal place has made me doubt myself

640 - 160 = 480 which is commission

Sales x 0.3 = 480
Sales = 480/0.3

Reply 2

FullerClass

OP

2

thanks bud, appreciated

Reply 3

marcusmerehay

17

Sales x 1.3, actually.

Reply 4

gdunne42

21

marcusmerehay

Sales x 1.3, actually.

have just checked the CD answers and it isn't x 1.3

Reply 5

dannylj

10

sales = 480/0.33 recurring..

Reply 6

jaheen22

12

Nah, it's sales x 0.3 . The sales figure has to be greater than the commission

Reply 7

rosesmith6925

4

No,he gets 30% of the sales he makes that particular week so wouldn't it be solved like this-100 30=1300%=64010%=49.230769 100%=492.2

Reply 8

Yousuf_Ldn

1

What year are you in?

Reply 9

Yousuf_Ldn

1

I’m in year 7 and my teacher gave me this question I’m soo baffled someone pls help

Reply 10

Yousuf_Ldn

1

it has to be wrong as the sale value can’t be more than the total wage actually wait I’m waffling

Reply 11

saqib_beast164

Original post by Yousuf_Ldn

I’m in year 7 and my teacher gave me this question I’m soo baffled someone pls help

As the sales person gets £160 per week from his salary you first have to minus it to see how much money was from his commission so first its:
640-160= 480
Since he only gets 30% of what he sells, 480 is only 30% of what he actually sold so it must be higher.
To work out 100% you divide by 30 to find 1% (since 30 divided by 30 is 1) and then multiply by 100 to get 100%
so 480 / 30 = 16
(£16 = 1% of his sales)
£16x100=£1600
So he sold £1600 worth of goods in that week.

Reply 12

Yousuf_Ldn

1

What year are you in?

Reply 13

saqib_beast164

Original post by Yousuf_Ldn

What year are you in?

Year 11

GCSE reverse percentages question

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