Math, asked by Anonymous, 8 months ago

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Answered by Anonymous
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\bf{\underline{Question\:2nd}}

  • A person buy an article at discount of 13% and pays 16% VAT . if he/she pays Rs. 261 for VAT . then find the marked price of the article and also the amount paid by him/her to buy the article.

\bf{\underline{Given:-}}

  • Discount % (d%) = 13%
  • VAT = 16%
  • VAT amount = 261 ₹
  • S.P with VAT = ?

Let,

  • Marked price be X
  • S.P be Rs.

Now,

⚔️ VAT amount = VAT% of S.P

\sf → 261 = \frac{16}{100}×y

\sf → 261 = \frac{4}{25}×y

\sf → y = \frac{261×25}{4}

\bf → y(S.P) = 1631.25

ALSO,

◇ S.P = MP - discount (d%) of M.P

\sf → 1631.25 = x - \frac{13}{100}×x

\sf → 1631.25 = \frac{100-13x}{100}

\sf → 1631.25 = \frac{87x}{100}

\sf → x = \frac{1631.25×100}{87}

\sf → x = \frac{163,125}{87}

\bf → x(M.P) = 1875

\bf{\underline{Therefore:-}}

⚔️ S.P with VAT = S.P + VAT amount

⚔️ S.P with VAT = 1631.25 + 261

⚔️ S.P with VAT = 1892.25

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\bf{\underline{Question\:1st}}

  • after allowing 20% discount on the marked price and then levying 10% VAT . a radio was sold . if buyer had paid Rs. 320 for VAT how much would he gave got the discount.

\bf{\underline{Solution:-}}

  • 10 % on VAT = 320₹
  • 100% on VAT = 320 × 100 = 3200₹

Discount on marked price = 20%

\bf → M.P_{(Marked\: price)}= 3200× \frac{100}{100-20}

\bf → M.P_{(Marked\: price)} = 3200×\frac{100}{80}

\bf → M.P_{(Marked\: price)} = \frac{3200}{80}×100

\bf → M.P_{(Marked\: price)} = 40 × 100

\bf → M.P_{(Marked\: price)} = 4000

\bf{\underline{Hence:-}}

  • Discount = 4000 - 3200
  • Discount = 800₹

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