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in CBSE by (15 points)

There was a flat discount on any variety of shoes @ 20%. A VAT @ 12.5% is applicable on shoes. Madhu paid ₹ 6752 the shopkeeper. what was the marked price of the pair of shoes ?

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1 Answer

+1 vote
by (31.3k points)

Let marked price be x

After 12.5 % vat the shoes price will be

x + \(\frac{12.5}{100}x = x \left(1 + \frac{125}{1000}\right)\) \(= (1 + \frac{1}{8})x\) = 9/8 x

There was 20 % discount on any variety of shoes.

\(\therefore\) The paid price will be

\(\frac{9}{8}x - \frac{20}{100} \times \frac{9}{8}x\) \(=(\frac{9}{8}) x (1 - \frac{20}{100})\)

\(=\frac{9}{8}x (1 - \frac{1}{5}) = \frac{9}{8}x \times \frac{4}{5} = \frac{9}{10}x\)

But the paid price is 6752.

\(\therefore\) \(\frac{9}{10}x = 6752\)

\(\Rightarrow\) x \(=6752 \times \frac{10}{9}=7502.22\)

Hence, the marked price of the shoes is Rs 7502.22.

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