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The selling price of 32 items is equal to the cost price of 45 items. What is the percentage of profit made on the sale of each item?
Question

The selling price of 32 items is equal to the cost price of 45 items. What is the percentage of profit made on the sale of each item?

A.

40.75%

B.

40.5%

C.

40.725%

D.

40.625%

Correct option is D

Given:

The selling price of 32 items is equal to cost price of 45 items

Formula Used:

Profit = SP - CP

Profit percent =ProfitCP×100 \frac{Profit}{CP} \times 100

Solution:

32SP=45CP32 SP = 45CP​​

SPCP=4532\frac{SP}{CP} = \frac{45}{32}​​

If CP is 32 then SP is 45

Profit = 45-32 = 13

Profit percentage = 1332×100=40.625% \frac{13}{32} \times 100 = 40.625\%​​

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