The incurred loss in selling 8 tables for RS. 6992 is 8%. What is the cost price of 1 table?



Given: The incurred loss in selling $8$ tables for $₹\ 6992$ is $8$ %.

To do: The cost price of $1$ table.

Solution:

Given Selling price of the tables $=₹\ 6992$.

Loss $=8$ %.

Let $x$ be the cost price of $8$ tables.

Therefore, loss $=\frac{x\times8}{100}=\frac{2x}{25}$

$\Rightarrow x-\frac{2x}{25}=6992$

$\Rightarrow \frac{25x-2x}{25}=6992$

$\Rightarrow \frac{23x}{25}=6992$

$\Rightarrow 23x=6992\times25$

$\Rightarrow x=\frac{6992\times25}{23}$

$\Rightarrow x=₹\ 7600$

So cost price of $8$ tables$=₹\ 7600$

Therefore, cost price of $1$ table$=\frac{7600}{8}=₹\ 950$


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