Question

if sp of 10 articles is same as cp of 16 articles find profit percentage
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Answer 1

Step-by-step explanation:

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Answer 2

Solution :-

Let the SP of 10 articles be x

So SP of one article = x/10

Given

SP of 10 article = CP of 16 articles

So CP of 16 article = x

CP of one article = x/16

In this transaction x/10 > x/16 i.e SP > CP

So the given transaction is a Profit

Profit = SP - CP

= x/10 - x/16

= (8x - 5x)/80

Profit = 3x/80

$\bf Profit \: \% = \dfrac{Profit}{ CP} \times 100 \\ \\ \\ \sf = \dfrac{3x}{80} \div \frac{x}{16} \times 100 \\ \\ \\ \sf = \dfrac{3x}{80} \times \dfrac{16}{x} \times 100 \\ \\ \\ \sf = \dfrac{3}{8} \times 16 \times 10 \\ \\ \\ \sf = 3 \times 2 \times 10 \\ \\ \\ \sf = 60 \%$

Therefore profit % is 60 %.