The marked price of an article is Rs 4500. After allowing some percent of discount and levying 10% VAT is sold at Rs 440, find the discount percent.

Solution:

For an article,

Marked Price (MP) = Rs 4500

VAT percent (VAT%) = 10%

SP with VAT = Rs 4400

Discount percent = d%

We know,

SP = $\dfrac{SP with VAT}{100 + \frac{VAT%}{100}}$

$= \dfrac{4400}{100 + \frac{10}{100}}$

$= \dfrac{4400}{\frac{110}{100}}$

$= 4400 × \frac{100}{110}$

$= Rs 4000$

And,

d% = $\dfrac{MP - SP}{MP} × 100%$

$= \dfrac{4500 - 4000}{4500} × 100%

$= 11.11%$

Hence, the required discount percentage in the marked price is 11.11%.

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