Question

The cost price of 10 tables is equal to the selling price of 8 tables . Find the loss or profit percent

Answer 1

Given

The cost price of 10 tables is equal to the selling price of 8 tables.

We Find

Loss or profit percent

According to the question

$\sf{Let the cost price of 1 tablet be Rs.x }$

$\sf {C.P \: of\: 10 \:tablets = S.P\: of \:8 \:tablets}$

$\implies\sf{S.P\: of\: 8 \:tablets=10x}$

$\implies\sf{S.P\: of\: 1\: tablet}\mathsf{=\dfrac{10x}{8}}$

$\implies\sf{S.P\: of \:10 \:tablets}\mathsf{=\dfrac{100x}{8}}$

$\implies\sf{S.P \:of \:10 \:tablets}\mathsf{=Rs.12.5x}$

$\mathsf{Profit = S.P - C.P}$

$\mathsf{Profit = 12.5x - 10x}$

$\mathsf{Profit = Rs.\,2.5x}$

$\boxed{\red{\mathsf{Profit\;percentage=\dfrac{Profit}{C.P}{\times}100}}}$

$\mathsf{Profit\;percentage=\dfrac{2.5x}{10x}{\times}100}$

$\mathsf{{Profit\;percentage=\dfrac{2.5}{10}{\times}100}}$

$\mathsf{Profit\;percentage=2.5{\times}10}$

$\mathsf{Profit\;percentage=25\,\%}$

Hence, Profit Percent is 25 %.

Answer 2

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