List price of a cooler is Rs 2563. The rate of VAT is 10%. The customer requests the shopkeeper to allow a discount in the price of the cooler to such an extent that the price remains Rs 2563 inclusive of VAT. Find the descount in the price of the cooler.
Let the reduced price of the cooler, excluding VAT, be Rs. $x$.
VAT $=10 \%$ of Rs $x=\frac{10}{100} \times x$
$=R s . \frac{x}{10}$
Therefore, SP of the cooler will be $=$ Rs. $\left(x+\frac{x}{10}\right)=$ Rs. $\frac{11 x}{10}$
But the SP is already given as Rs. 2563 .
So,
$2563=\frac{11 x}{10}$
$11 x=25630$
$x=\frac{25630}{11}$
$=$ Rs. 2330
Hence, $d$ iscount allowed in the price of the cooler $=$ Rs. $(2563-2330)=$ Rs. 233 .
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