Question

Athos bought a crate of apricots for $17.60. There were 11kg of apricots in the crate. He sold the apricots in his shop in 1 kg bags for $2.85 each:
A- How much did one kg of apricots cost him?
B- What was his profit per kilogram?
C- Find his profit as a percentage of his cost price

PLEASE HELP IM ON TIME LIMIT PLEASEEE

Answer 1

$\tt{Solution \: \: (A) :}$

Given :-

Cost of a crate of apricots =$17.60

Quantity of apricots in the crate =11 kg

Cost of one apricot :-

$= \frac{17.60}{11}$

$=\bold{\ \: 1.6}$

Thus, the cost of one apricot = $ 1.6

Therefore, price of one kg of apricot = $1.6

$\tt{Solution \: \: (B) :}$

Cost of 11 kg of apricots = $17.6

Cost of 1 kg of apricot :-

$= 17.6 \div 11$

$= \ \: 1.6$

Selling price of one kg of apricot in Athos's shop=$2.85

We know that :-

Profit = SP - CP

Which means, profit made by Athos by selling each kg of apricot:-

$= 2.85 - 1.6$

$=\bold{\ \: 1.25}$

Thus, the profit Athos got by selling per kg of apricot=$1.25

We know that :-

$profit \: percentage </p><p></p><p> = \frac{profit \times 100}{CP}$

Percentage of profit Athos gained by selling each kg of apricot :-

$= \frac{1.25 \times 100}{1.6}$

$= \frac{125}{1.6}$

$= 78.12 \: \%$

Thus, percentage of profit Athos makes by selling each kg of apricot =78.12%

Therefore, profit he makes by selling each kg of apricot =$1.25 and percentage of profit gained by selling each kg of apricot =78.12%

$\tt{Solution \: \: (C) :}$

Cost price of one kg of apricot = $1.6

Selling price of one kg of apricot = $2.85

Profit made by selling each kg of apricot =$1.25

Which means, profit made by selling 11 kg of apricot :-

$= 1.25 \times 11$

$=\bold{ \ \: 13.75}$

Thus, profit made by selling 11 kg of apricots=$13.75

His profit as a percentage of his cost price :-

Let x be profit as a ercentage of his cost price.

Which means :-

His profit as a percentage of his cost price :-

$= \frac{x}{100} \: of \: 17.60 = 13.75$

$= \frac{17.6x}{100} = 13.75$

$= 17.6x = 13.75 \times 100$

$= 17.6x = 1375$

$= x=\bold{ 78.12 \: \% }$

Thus,his profit as a percentage of his cost price =78.12%

Therefore, the total profit Athos made as a percentage of his cost price =78.12% .