Question

the cost price of 18 eggs is the same as the selling price of 16 eggs find the profit percent

Answer 1

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Here is your answer
Let the Cost of one egg is Rs 1

So Cost price of 18 eggs = Selling price of 16 eggs

Cost price of 1 egg is = 16/18
= 8/9

Selling price of 16 eggs is = 18
Selling price of 1 egg is = 18/16
= 9/8

Profit = SP - CP
$= \frac{9}{8} - \frac{8}{9} \\ \\ = \frac{81 - 64}{72} \\ \\ = \frac{17}{72}$
Now
Profit% = Profit × 100/CP
$= \frac{ \frac{17}{72} }{ \frac{8}{9} } \times 100 \\ \\ = \frac{17}{72} \times \frac{9}{8} \times 100 \\ \\ = 26.56\%$
Therefore Profit% is 26.56%

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Answer 2

Hi friends

Here is your answer

CP OF 18 Eggs= SP OF 16 Eggs

CP OF 1 Egg = 16/18. = 8/9


SP OF 16 Eggs = CP OF 18 EGGS

SP OF 1 Eggs= 18/16. = 9/8

Profit % is
$= \frac{ \frac{9}{8} - \frac{8}{9} }{ \frac{8}{9} } \times 100 \\ \\ = ( \frac{81 - 64}{9 \times 8} ) \times \frac{9}{8} \times 100 \\ \\ = \frac{17}{9 \times 8} \times \frac{9}{8} \times 100 \\ \\ = \frac{1700}{64} \\ \\ = 26.56\%$
Hope it helps you to

@ MSD