# Math Help - Consumer math

1. ## Consumer math

Hi,

I'm not sure of these and need them checked, kindly. Alternatives would be appreciated also :-)

a.) A man sold a car for $22 000 and gained 10% on his money. How much did he pay for the car? M => Amount paid for car $100 \% + 10 \ % = 110 \%$ (Since it's a gain, we add?) $110 \% \times \rm{M} = 22 000$ $\rm{M} = 22 000 \div 110 \%$ $\rm{M} = \20 000$ b.) An electric iron was bought for$150 and sold for a profit 10%. What was the selling price?

$100 \% + 10 \ % = 110 \%$
$110 \% \times 150 = 165$
I got this one after trial and error. My answer just coincides with the given. I don't see the reason for multiplying 1.1 by 150.

c.) In a sale the price of a pair of shoes was reduced by $33 \frac13 \%$. The sale price was $30. What was the original price? Original Price = Unknown (g) Sale Price (Final Price) =$30

Loss % = $33 \frac13\$
$33 \frac13 \% = \frac13$

Relating these is the problem I'm having: $g - \frac13 = \30$
$\frac{2}{3}g = 30$
g = 45

2. ## Re: Consumer math

They're correct...

3. ## Re: Consumer math

Yeah, thanks.
I don't understand the second problem (b.), as I noted in my original post. Would be glad if someone could clear it up, please!