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expeople1 [14]
3 years ago
15

Jai bought a helmet and a pair of skates.

Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

Profit % on skates = 8.7 %

Step-by-step explanation:

<em><u>Step 1 : Find cost price of skates</u></em>

Cost price of helmet = £45

Let cost price of skate be = x

Selling price = £224

Cost price = (x + 45)

Total profit % = 40%

Profit \% = \frac{Selling \ price - cost \ price }{Cost \ price} \times 100

\frac{40}{100} = \frac{224 - (x + 45)}{(x + 45)}\\\\40(x+ 45) = 100(224 - (x +45))\\\\40(x + 45) = 22400  - 100(x + 45)\\\\40(x +45) + 100(x+ 45) = 22400\\\\140(x + 25) = 22400\\\\x + 45 = \frac{22400}{140}\\\\x = 160 - 45  = \£ \ 115

Total cost price = 45 + 115 = £160

<em><u>Step 2 : Selling price of Helmet</u></em>

Cost price of Helmet = £45

Let selling price of helmet be = y

Profit % of helmet = 120 %

Profit \% = \frac{selling \ price - cost \ price}{cost \ price}

\frac{120}{100} = \frac{y -45}{45}\\\\\frac{120 \times 45}{100} = y -45\\\\54 = y - 45\\\\99 = y

<em><u>Step 3 : Selling price of skates</u></em>

Total selling = selling price of helmet + selling price of skates

224 = 99 + selling price of skates

224 - 99 = selling price of skates

125 = selling price of skates

<em><u>Step 4 : Profit percentage on skates</u></em>

Cost price of skate = £ 115

Selling price of skate = £ 125

Profit \% \ on \ skates = \frac{selling\ price- cost \ price }{cost \ price} \times 100

                           = \frac{125-115}{115} \times 100\\\\=\frac{10}{115} \times 100\\\\= 8.7 \%

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