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.

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Solution

$Let the reduced price o f t h e c o o l e r, excluding VAT, be Rs . x . VAT = 10 % of Rs x = \frac{10}{100} \times x = R s . \frac{x}{10} T h e r e f o r e, SP of the cooler will be = Rs . (x + \frac{x}{10}) = Rs . \frac{11 x}{10} But t h e SP i s a l r e a d y given a s Rs . 2563 . So, 2563 = \frac{11 x}{10} 11 x = 25630 x = \frac{25630}{11} = Rs . 2330 Hence, d iscount a l l o w e d in the price of the cooler = Rs . (2563 - 2330) = Rs . 233 .$

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