A profit of 24% was made when a book was sold for 34.10$ find the selling price that would have given a profit of 28%

$35.20

Step-by-step explanation:

For a profit of 24% on $34.10, this means that;

34.10 is 24% greater than the cost price

since;  Profit = Selling price - cost price

To find the cost price (x):

Let the cost price be a 100%  and the selling price of $34.10 be 124%

Now lets find the cost price

if 34.10 = 124%

then, x = 100%

x / 34.10 = 100% / 124 %

This gives;

124x = 34.10 (100)

124x = 3410

Divide both sides by the coefficient of x which is 124

x = $27.50

Now lets find the selling price for a profit of 28%

28% of 27.5 = 7.70

from; Profit = Selling price - cost price

7.70 = Selling price - 27.50

Subtracting 7.7 from both sides we have;

Selling price = 27.50 + 7.70

Selling price = $35.20

Therefore, the selling prices for a profit of 28% is $35.20

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step-by-step explanation: