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# A dealer allows a discount of 10% and still gains by 10% what should be the marked price of the cost price is rs 900 ?

**Given:** A dealer allows a discount of 10% and still gains by 10%

**To do:** Find what should be the marked price of the cost price is Rs900

**
**

**Solution:**

Let the marked price be $x$.

Given cost price = 900.

Given that Discount = 10%. of $x$

SP = $x - 10% $of$ x$

= $x - \frac{10}{100}x$

=$ \frac{9x}{10}$ .............(i)

It also given that gain = 10%.

SP = $900 + 10%$ of $900$

= $900 + \frac{10}{100} \times 900$

= $900 + 90$

=$ 990$. .............(ii)

From i and ii

$990 = \frac{9x}{10}$

$x = 1100$.

**So Marked price = 1100.**

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