Question

If the selling price of 18 oranges is equal to the cost price of 16 oranges then what is the profit or loss ? Please write step by step solution.

Answer 1

Given, S.P. of 18 oranges = C.P. of 16 oranges

Let the cost price of 16 oranges be Rs x.

∴ Cost price of 1 orange = Rsx/16

Selling price of 18 oranges = Rs x

∴ Selling price of 1 orange = Rsx/18

Loss = Cost price of 1 orange – Selling price of 1 orange 

:loss=x/16-x/18

:loss ={9x-8x/144}=x/144
loss%=loss/c.p×100
=x/144//x/16×100=11.1%

Thus, the loss percent is  11.11% approximately.
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Answer 2

Answer:

Let the selling price of one orange be x

Then the sp of 18 oranges be 18x

So cp of 16 oranges be 18x

cp of 1 orange be 18x/16

Here

CP>SP

So here is loss

Loss=Cp-sp

=(18x/16)-x

=2x/16

Loss percent=(loss/cp)×100 percent

=(2x/16÷18x/16)×100 percent

=(1/9)×100 percent

=11.1 percent

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